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Finding the Third Proportional to 117,889,338,633.75 and 256,434,108,363

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Solution

The third proportional to 117,889,338,633.75 and 256,434,108,363 is: 557,798,124,020.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,889,338,633.75 : 256,434,108,363 = 256,434,108,363 : x
  2. Step 2: Convert to fraction form
    117,889,338,633.75/256,434,108,363 = 256,434,108,363/x
  3. Step 3: Cross multiply
    117,889,338,633.75x = 256,434,108,363 × 256,434,108,363
  4. Step 4: Simplify right side
    117,889,338,633.75x = 65,758,451,931,926,828,679,168
  5. Step 5: Solve for x
    x = 65,758,451,931,926,828,679,168/117,889,338,633.75
  6. Step 6: Final answer
    x = 557,798,124,020.53

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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.