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Finding the Third Proportional to 115,144,461 and 176,894,408

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Solution

The third proportional to 115,144,461 and 176,894,408 is: 271,759,764.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,144,461 : 176,894,408 = 176,894,408 : x
  2. Step 2: Convert to fraction form
    115,144,461/176,894,408 = 176,894,408/x
  3. Step 3: Cross multiply
    115,144,461x = 176,894,408 × 176,894,408
  4. Step 4: Simplify right side
    115,144,461x = 31,291,631,581,670,464
  5. Step 5: Solve for x
    x = 31,291,631,581,670,464/115,144,461
  6. Step 6: Final answer
    x = 271,759,764.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.