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Finding the Third Proportional to 86,665,368 and 176,357,451

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Solution

The third proportional to 86,665,368 and 176,357,451 is: 358,874,037.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,665,368 : 176,357,451 = 176,357,451 : x
  2. Step 2: Convert to fraction form
    86,665,368/176,357,451 = 176,357,451/x
  3. Step 3: Cross multiply
    86,665,368x = 176,357,451 × 176,357,451
  4. Step 4: Simplify right side
    86,665,368x = 31,101,950,523,217,400
  5. Step 5: Solve for x
    x = 31,101,950,523,217,400/86,665,368
  6. Step 6: Final answer
    x = 358,874,037.47

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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.