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Finding the Third Proportional to 119,642,216 and 259,703,480

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Solution

The third proportional to 119,642,216 and 259,703,480 is: 563,729,925.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,642,216 : 259,703,480 = 259,703,480 : x
  2. Step 2: Convert to fraction form
    119,642,216/259,703,480 = 259,703,480/x
  3. Step 3: Cross multiply
    119,642,216x = 259,703,480 × 259,703,480
  4. Step 4: Simplify right side
    119,642,216x = 67,445,897,524,110,400
  5. Step 5: Solve for x
    x = 67,445,897,524,110,400/119,642,216
  6. Step 6: Final answer
    x = 563,729,925.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.