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Finding the Third Proportional to 58,771,917.75 and 137,242,045.75

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Solution

The third proportional to 58,771,917.75 and 137,242,045.75 is: 320,482,635.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,771,917.75 : 137,242,045.75 = 137,242,045.75 : x
  2. Step 2: Convert to fraction form
    58,771,917.75/137,242,045.75 = 137,242,045.75/x
  3. Step 3: Cross multiply
    58,771,917.75x = 137,242,045.75 × 137,242,045.75
  4. Step 4: Simplify right side
    58,771,917.75x = 18,835,379,121,645,092
  5. Step 5: Solve for x
    x = 18,835,379,121,645,092/58,771,917.75
  6. Step 6: Final answer
    x = 320,482,635.97

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.