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Finding the Third Proportional to 124,522,650 and 288,276,055.50

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Solution

The third proportional to 124,522,650 and 288,276,055.50 is: 667,373,238.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,522,650 : 288,276,055.50 = 288,276,055.50 : x
  2. Step 2: Convert to fraction form
    124,522,650/288,276,055.50 = 288,276,055.50/x
  3. Step 3: Cross multiply
    124,522,650x = 288,276,055.50 × 288,276,055.50
  4. Step 4: Simplify right side
    124,522,650x = 83,103,084,174,639,088
  5. Step 5: Solve for x
    x = 83,103,084,174,639,088/124,522,650
  6. Step 6: Final answer
    x = 667,373,238.32

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.