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Finding the Third Proportional to 121,002,758 and 265,516,300

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Solution

The third proportional to 121,002,758 and 265,516,300 is: 582,622,303.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,002,758 : 265,516,300 = 265,516,300 : x
  2. Step 2: Convert to fraction form
    121,002,758/265,516,300 = 265,516,300/x
  3. Step 3: Cross multiply
    121,002,758x = 265,516,300 × 265,516,300
  4. Step 4: Simplify right side
    121,002,758x = 70,498,905,565,690,000
  5. Step 5: Solve for x
    x = 70,498,905,565,690,000/121,002,758
  6. Step 6: Final answer
    x = 582,622,303.25

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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.