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Finding the Third Proportional to 137,359,875.94 and 294,659,780.06

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Solution

The third proportional to 137,359,875.94 and 294,659,780.06 is: 632,094,237.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,359,875.94 : 294,659,780.06 = 294,659,780.06 : x
  2. Step 2: Convert to fraction form
    137,359,875.94/294,659,780.06 = 294,659,780.06/x
  3. Step 3: Cross multiply
    137,359,875.94x = 294,659,780.06 × 294,659,780.06
  4. Step 4: Simplify right side
    137,359,875.94x = 86,824,385,986,480,880
  5. Step 5: Solve for x
    x = 86,824,385,986,480,880/137,359,875.94
  6. Step 6: Final answer
    x = 632,094,237.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.