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Finding the Third Proportional to 97,004,561 and 146,513,960

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Solution

The third proportional to 97,004,561 and 146,513,960 is: 221,292,073.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,004,561 : 146,513,960 = 146,513,960 : x
  2. Step 2: Convert to fraction form
    97,004,561/146,513,960 = 146,513,960/x
  3. Step 3: Cross multiply
    97,004,561x = 146,513,960 × 146,513,960
  4. Step 4: Simplify right side
    97,004,561x = 21,466,340,474,881,600
  5. Step 5: Solve for x
    x = 21,466,340,474,881,600/97,004,561
  6. Step 6: Final answer
    x = 221,292,073.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.