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Finding the Third Proportional to 130,155,834 and 172,736,082

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Solution

The third proportional to 130,155,834 and 172,736,082 is: 229,246,381.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,155,834 : 172,736,082 = 172,736,082 : x
  2. Step 2: Convert to fraction form
    130,155,834/172,736,082 = 172,736,082/x
  3. Step 3: Cross multiply
    130,155,834x = 172,736,082 × 172,736,082
  4. Step 4: Simplify right side
    130,155,834x = 29,837,754,024,710,724
  5. Step 5: Solve for x
    x = 29,837,754,024,710,724/130,155,834
  6. Step 6: Final answer
    x = 229,246,381.88

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.