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Finding the Third Proportional to 137,023,620.75 and 186,634,566

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Solution

The third proportional to 137,023,620.75 and 186,634,566 is: 254,207,712.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,023,620.75 : 186,634,566 = 186,634,566 : x
  2. Step 2: Convert to fraction form
    137,023,620.75/186,634,566 = 186,634,566/x
  3. Step 3: Cross multiply
    137,023,620.75x = 186,634,566 × 186,634,566
  4. Step 4: Simplify right side
    137,023,620.75x = 34,832,461,226,008,356
  5. Step 5: Solve for x
    x = 34,832,461,226,008,356/137,023,620.75
  6. Step 6: Final answer
    x = 254,207,712.77

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.