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Finding the Third Proportional to 285,224,311.50 and 625,127,997

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Solution

The third proportional to 285,224,311.50 and 625,127,997 is: 1,370,097,137.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,224,311.50 : 625,127,997 = 625,127,997 : x
  2. Step 2: Convert to fraction form
    285,224,311.50/625,127,997 = 625,127,997/x
  3. Step 3: Cross multiply
    285,224,311.50x = 625,127,997 × 625,127,997
  4. Step 4: Simplify right side
    285,224,311.50x = 390,785,012,633,232,000
  5. Step 5: Solve for x
    x = 390,785,012,633,232,000/285,224,311.50
  6. Step 6: Final answer
    x = 1,370,097,137.16

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Why These Related Problems?

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