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Finding the Third Proportional to 157,024,325.25 and 260,797,448.25

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Solution

The third proportional to 157,024,325.25 and 260,797,448.25 is: 433,151,417.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,024,325.25 : 260,797,448.25 = 260,797,448.25 : x
  2. Step 2: Convert to fraction form
    157,024,325.25/260,797,448.25 = 260,797,448.25/x
  3. Step 3: Cross multiply
    157,024,325.25x = 260,797,448.25 × 260,797,448.25
  4. Step 4: Simplify right side
    157,024,325.25x = 68,015,309,013,711,432
  5. Step 5: Solve for x
    x = 68,015,309,013,711,432/157,024,325.25
  6. Step 6: Final answer
    x = 433,151,417.18

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.