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Finding the Third Proportional to 66,213,619.59 and 142,546,693.22

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Solution

The third proportional to 66,213,619.59 and 142,546,693.22 is: 306,878,854.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,213,619.59 : 142,546,693.22 = 142,546,693.22 : x
  2. Step 2: Convert to fraction form
    66,213,619.59/142,546,693.22 = 142,546,693.22/x
  3. Step 3: Cross multiply
    66,213,619.59x = 142,546,693.22 × 142,546,693.22
  4. Step 4: Simplify right side
    66,213,619.59x = 20,319,559,747,600,428
  5. Step 5: Solve for x
    x = 20,319,559,747,600,428/66,213,619.59
  6. Step 6: Final answer
    x = 306,878,854.72

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.