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Finding the Third Proportional to 61,346,170.13 and 89,646,531.05

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Solution

The third proportional to 61,346,170.13 and 89,646,531.05 is: 131,002,481.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,346,170.13 : 89,646,531.05 = 89,646,531.05 : x
  2. Step 2: Convert to fraction form
    61,346,170.13/89,646,531.05 = 89,646,531.05/x
  3. Step 3: Cross multiply
    61,346,170.13x = 89,646,531.05 × 89,646,531.05
  4. Step 4: Simplify right side
    61,346,170.13x = 8,036,500,528,738,323
  5. Step 5: Solve for x
    x = 8,036,500,528,738,323/61,346,170.13
  6. Step 6: Final answer
    x = 131,002,481.69

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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.