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Finding the Third Proportional to 165,633,976 and 358,872,080

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Solution

The third proportional to 165,633,976 and 358,872,080 is: 777,552,848.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,633,976 : 358,872,080 = 358,872,080 : x
  2. Step 2: Convert to fraction form
    165,633,976/358,872,080 = 358,872,080/x
  3. Step 3: Cross multiply
    165,633,976x = 358,872,080 × 358,872,080
  4. Step 4: Simplify right side
    165,633,976x = 128,789,169,803,526,400
  5. Step 5: Solve for x
    x = 128,789,169,803,526,400/165,633,976
  6. Step 6: Final answer
    x = 777,552,848.24

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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.