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Finding the Third Proportional to 135,607,419.75 and 294,332,523

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Solution

The third proportional to 135,607,419.75 and 294,332,523 is: 638,841,401.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,607,419.75 : 294,332,523 = 294,332,523 : x
  2. Step 2: Convert to fraction form
    135,607,419.75/294,332,523 = 294,332,523/x
  3. Step 3: Cross multiply
    135,607,419.75x = 294,332,523 × 294,332,523
  4. Step 4: Simplify right side
    135,607,419.75x = 86,631,634,095,545,536
  5. Step 5: Solve for x
    x = 86,631,634,095,545,536/135,607,419.75
  6. Step 6: Final answer
    x = 638,841,401.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.