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Finding the Third Proportional to 117,889,341,886.50 and 256,434,112,893

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Solution

The third proportional to 117,889,341,886.50 and 256,434,112,893 is: 557,798,128,337.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,889,341,886.50 : 256,434,112,893 = 256,434,112,893 : x
  2. Step 2: Convert to fraction form
    117,889,341,886.50/256,434,112,893 = 256,434,112,893/x
  3. Step 3: Cross multiply
    117,889,341,886.50x = 256,434,112,893 × 256,434,112,893
  4. Step 4: Simplify right side
    117,889,341,886.50x = 65,758,454,255,219,871,055,872
  5. Step 5: Solve for x
    x = 65,758,454,255,219,871,055,872/117,889,341,886.50
  6. Step 6: Final answer
    x = 557,798,128,337.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.