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Finding the Third Proportional to 136,618,864.50 and 199,804,473.75

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Solution

The third proportional to 136,618,864.50 and 199,804,473.75 is: 292,213,142.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,618,864.50 : 199,804,473.75 = 199,804,473.75 : x
  2. Step 2: Convert to fraction form
    136,618,864.50/199,804,473.75 = 199,804,473.75/x
  3. Step 3: Cross multiply
    136,618,864.50x = 199,804,473.75 × 199,804,473.75
  4. Step 4: Simplify right side
    136,618,864.50x = 39,921,827,730,514,440
  5. Step 5: Solve for x
    x = 39,921,827,730,514,440/136,618,864.50
  6. Step 6: Final answer
    x = 292,213,142.57

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.