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Finding the Third Proportional to 161,975,972 and 260,834,664

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Solution

The third proportional to 161,975,972 and 260,834,664 is: 420,029,718.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,975,972 : 260,834,664 = 260,834,664 : x
  2. Step 2: Convert to fraction form
    161,975,972/260,834,664 = 260,834,664/x
  3. Step 3: Cross multiply
    161,975,972x = 260,834,664 × 260,834,664
  4. Step 4: Simplify right side
    161,975,972x = 68,034,721,943,992,896
  5. Step 5: Solve for x
    x = 68,034,721,943,992,896/161,975,972
  6. Step 6: Final answer
    x = 420,029,718.63

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.