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Finding the Third Proportional to 75,095,947.13 and 155,947,349.25

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Solution

The third proportional to 75,095,947.13 and 155,947,349.25 is: 323,846,714.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,095,947.13 : 155,947,349.25 = 155,947,349.25 : x
  2. Step 2: Convert to fraction form
    75,095,947.13/155,947,349.25 = 155,947,349.25/x
  3. Step 3: Cross multiply
    75,095,947.13x = 155,947,349.25 × 155,947,349.25
  4. Step 4: Simplify right side
    75,095,947.13x = 24,319,575,738,101,476
  5. Step 5: Solve for x
    x = 24,319,575,738,101,476/75,095,947.13
  6. Step 6: Final answer
    x = 323,846,714.36

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.