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Finding the Third Proportional to 65,953,379.25 and 97,010,844.75

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Solution

The third proportional to 65,953,379.25 and 97,010,844.75 is: 142,693,279.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,953,379.25 : 97,010,844.75 = 97,010,844.75 : x
  2. Step 2: Convert to fraction form
    65,953,379.25/97,010,844.75 = 97,010,844.75/x
  3. Step 3: Cross multiply
    65,953,379.25x = 97,010,844.75 × 97,010,844.75
  4. Step 4: Simplify right side
    65,953,379.25x = 9,411,103,999,108,602
  5. Step 5: Solve for x
    x = 9,411,103,999,108,602/65,953,379.25
  6. Step 6: Final answer
    x = 142,693,279.80

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.