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Finding the Third Proportional to 129,852,617 and 194,369,389

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Solution

The third proportional to 129,852,617 and 194,369,389 is: 290,941,070.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,852,617 : 194,369,389 = 194,369,389 : x
  2. Step 2: Convert to fraction form
    129,852,617/194,369,389 = 194,369,389/x
  3. Step 3: Cross multiply
    129,852,617x = 194,369,389 × 194,369,389
  4. Step 4: Simplify right side
    129,852,617x = 37,779,459,380,233,320
  5. Step 5: Solve for x
    x = 37,779,459,380,233,320/129,852,617
  6. Step 6: Final answer
    x = 290,941,070.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.