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Finding the Third Proportional to 66,073,632.19 and 144,853,193.53

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Solution

The third proportional to 66,073,632.19 and 144,853,193.53 is: 317,561,589.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,073,632.19 : 144,853,193.53 = 144,853,193.53 : x
  2. Step 2: Convert to fraction form
    66,073,632.19/144,853,193.53 = 144,853,193.53/x
  3. Step 3: Cross multiply
    66,073,632.19x = 144,853,193.53 × 144,853,193.53
  4. Step 4: Simplify right side
    66,073,632.19x = 20,982,447,676,201,768
  5. Step 5: Solve for x
    x = 20,982,447,676,201,768/66,073,632.19
  6. Step 6: Final answer
    x = 317,561,589.72

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.