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Finding the Third Proportional to 138,820,051.13 and 215,642,911.50

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Solution

The third proportional to 138,820,051.13 and 215,642,911.50 is: 334,979,456.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,820,051.13 : 215,642,911.50 = 215,642,911.50 : x
  2. Step 2: Convert to fraction form
    138,820,051.13/215,642,911.50 = 215,642,911.50/x
  3. Step 3: Cross multiply
    138,820,051.13x = 215,642,911.50 × 215,642,911.50
  4. Step 4: Simplify right side
    138,820,051.13x = 46,501,865,280,196,832
  5. Step 5: Solve for x
    x = 46,501,865,280,196,832/138,820,051.13
  6. Step 6: Final answer
    x = 334,979,456.52

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.