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Finding the Third Proportional to 110,675,209 and 165,402,822

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Solution

The third proportional to 110,675,209 and 165,402,822 is: 247,192,607.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,675,209 : 165,402,822 = 165,402,822 : x
  2. Step 2: Convert to fraction form
    110,675,209/165,402,822 = 165,402,822/x
  3. Step 3: Cross multiply
    110,675,209x = 165,402,822 × 165,402,822
  4. Step 4: Simplify right side
    110,675,209x = 27,358,093,525,563,684
  5. Step 5: Solve for x
    x = 27,358,093,525,563,684/110,675,209
  6. Step 6: Final answer
    x = 247,192,607.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.