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Finding the Third Proportional to 229,260,758.50 and 484,398,316.50

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Solution

The third proportional to 229,260,758.50 and 484,398,316.50 is: 1,023,470,961.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,260,758.50 : 484,398,316.50 = 484,398,316.50 : x
  2. Step 2: Convert to fraction form
    229,260,758.50/484,398,316.50 = 484,398,316.50/x
  3. Step 3: Cross multiply
    229,260,758.50x = 484,398,316.50 × 484,398,316.50
  4. Step 4: Simplify right side
    229,260,758.50x = 234,641,729,028,034,176
  5. Step 5: Solve for x
    x = 234,641,729,028,034,176/229,260,758.50
  6. Step 6: Final answer
    x = 1,023,470,961.90

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.