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Finding the Third Proportional to 97,217,448.50 and 142,135,305.50

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Solution

The third proportional to 97,217,448.50 and 142,135,305.50 is: 207,806,781.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,217,448.50 : 142,135,305.50 = 142,135,305.50 : x
  2. Step 2: Convert to fraction form
    97,217,448.50/142,135,305.50 = 142,135,305.50/x
  3. Step 3: Cross multiply
    97,217,448.50x = 142,135,305.50 × 142,135,305.50
  4. Step 4: Simplify right side
    97,217,448.50x = 20,202,445,069,578,332
  5. Step 5: Solve for x
    x = 20,202,445,069,578,332/97,217,448.50
  6. Step 6: Final answer
    x = 207,806,781.41

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.