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Finding the Third Proportional to 58,771,935 and 137,242,086

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Solution

The third proportional to 58,771,935 and 137,242,086 is: 320,482,729.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,771,935 : 137,242,086 = 137,242,086 : x
  2. Step 2: Convert to fraction form
    58,771,935/137,242,086 = 137,242,086/x
  3. Step 3: Cross multiply
    58,771,935x = 137,242,086 × 137,242,086
  4. Step 4: Simplify right side
    58,771,935x = 18,835,390,169,631,396
  5. Step 5: Solve for x
    x = 18,835,390,169,631,396/58,771,935
  6. Step 6: Final answer
    x = 320,482,729.89

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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.