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Finding the Third Proportional to 260,053,276.50 and 380,750,170.50

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Solution

The third proportional to 260,053,276.50 and 380,750,170.50 is: 557,465,355.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,053,276.50 : 380,750,170.50 = 380,750,170.50 : x
  2. Step 2: Convert to fraction form
    260,053,276.50/380,750,170.50 = 380,750,170.50/x
  3. Step 3: Cross multiply
    260,053,276.50x = 380,750,170.50 × 380,750,170.50
  4. Step 4: Simplify right side
    260,053,276.50x = 144,970,692,335,779,072
  5. Step 5: Solve for x
    x = 144,970,692,335,779,072/260,053,276.50
  6. Step 6: Final answer
    x = 557,465,355.90

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.