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Finding the Third Proportional to 106,889,608 and 165,243,023

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Solution

The third proportional to 106,889,608 and 165,243,023 is: 255,452,865.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,889,608 : 165,243,023 = 165,243,023 : x
  2. Step 2: Convert to fraction form
    106,889,608/165,243,023 = 165,243,023/x
  3. Step 3: Cross multiply
    106,889,608x = 165,243,023 × 165,243,023
  4. Step 4: Simplify right side
    106,889,608x = 27,305,256,650,178,528
  5. Step 5: Solve for x
    x = 27,305,256,650,178,528/106,889,608
  6. Step 6: Final answer
    x = 255,452,865.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.