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Finding the Third Proportional to 254,750,778 and 381,726,121.50

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Solution

The third proportional to 254,750,778 and 381,726,121.50 is: 571,989,742.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,750,778 : 381,726,121.50 = 381,726,121.50 : x
  2. Step 2: Convert to fraction form
    254,750,778/381,726,121.50 = 381,726,121.50/x
  3. Step 3: Cross multiply
    254,750,778x = 381,726,121.50 × 381,726,121.50
  4. Step 4: Simplify right side
    254,750,778x = 145,714,831,835,432,768
  5. Step 5: Solve for x
    x = 145,714,831,835,432,768/254,750,778
  6. Step 6: Final answer
    x = 571,989,742.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.