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Finding the Third Proportional to 135,607,421.95 and 294,332,527.41

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Solution

The third proportional to 135,607,421.95 and 294,332,527.41 is: 638,841,410.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,607,421.95 : 294,332,527.41 = 294,332,527.41 : x
  2. Step 2: Convert to fraction form
    135,607,421.95/294,332,527.41 = 294,332,527.41/x
  3. Step 3: Cross multiply
    135,607,421.95x = 294,332,527.41 × 294,332,527.41
  4. Step 4: Simplify right side
    135,607,421.95x = 86,631,636,689,350,912
  5. Step 5: Solve for x
    x = 86,631,636,689,350,912/135,607,421.95
  6. Step 6: Final answer
    x = 638,841,410.31

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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.