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Finding the Third Proportional to 141,138,853.75 and 305,730,617

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Solution

The third proportional to 141,138,853.75 and 305,730,617 is: 662,264,200.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,138,853.75 : 305,730,617 = 305,730,617 : x
  2. Step 2: Convert to fraction form
    141,138,853.75/305,730,617 = 305,730,617/x
  3. Step 3: Cross multiply
    141,138,853.75x = 305,730,617 × 305,730,617
  4. Step 4: Simplify right side
    141,138,853.75x = 93,471,210,171,200,688
  5. Step 5: Solve for x
    x = 93,471,210,171,200,688/141,138,853.75
  6. Step 6: Final answer
    x = 662,264,200.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.