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Finding the Third Proportional to 130,322,446 and 191,223,217

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Solution

The third proportional to 130,322,446 and 191,223,217 is: 280,583,428.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,322,446 : 191,223,217 = 191,223,217 : x
  2. Step 2: Convert to fraction form
    130,322,446/191,223,217 = 191,223,217/x
  3. Step 3: Cross multiply
    130,322,446x = 191,223,217 × 191,223,217
  4. Step 4: Simplify right side
    130,322,446x = 36,566,318,719,829,088
  5. Step 5: Solve for x
    x = 36,566,318,719,829,088/130,322,446
  6. Step 6: Final answer
    x = 280,583,428.58

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.