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Finding the Third Proportional to 86,665,374 and 176,357,464

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Solution

The third proportional to 86,665,374 and 176,357,464 is: 358,874,065.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,665,374 : 176,357,464 = 176,357,464 : x
  2. Step 2: Convert to fraction form
    86,665,374/176,357,464 = 176,357,464/x
  3. Step 3: Cross multiply
    86,665,374x = 176,357,464 × 176,357,464
  4. Step 4: Simplify right side
    86,665,374x = 31,101,955,108,511,296
  5. Step 5: Solve for x
    x = 31,101,955,108,511,296/86,665,374
  6. Step 6: Final answer
    x = 358,874,065.54

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.