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Finding the Third Proportional to 45,615,786 and 99,262,230

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Solution

The third proportional to 45,615,786 and 99,262,230 is: 215,999,573.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,615,786 : 99,262,230 = 99,262,230 : x
  2. Step 2: Convert to fraction form
    45,615,786/99,262,230 = 99,262,230/x
  3. Step 3: Cross multiply
    45,615,786x = 99,262,230 × 99,262,230
  4. Step 4: Simplify right side
    45,615,786x = 9,852,990,304,572,900
  5. Step 5: Solve for x
    x = 9,852,990,304,572,900/45,615,786
  6. Step 6: Final answer
    x = 215,999,573.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.