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Finding the Third Proportional to 165,633,924 and 358,871,976

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Solution

The third proportional to 165,633,924 and 358,871,976 is: 777,552,641.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,633,924 : 358,871,976 = 358,871,976 : x
  2. Step 2: Convert to fraction form
    165,633,924/358,871,976 = 358,871,976/x
  3. Step 3: Cross multiply
    165,633,924x = 358,871,976 × 358,871,976
  4. Step 4: Simplify right side
    165,633,924x = 128,789,095,158,144,576
  5. Step 5: Solve for x
    x = 128,789,095,158,144,576/165,633,924
  6. Step 6: Final answer
    x = 777,552,641.68

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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.