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Finding the Third Proportional to 165,947,112 and 358,482,960

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Solution

The third proportional to 165,947,112 and 358,482,960 is: 774,403,549.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,947,112 : 358,482,960 = 358,482,960 : x
  2. Step 2: Convert to fraction form
    165,947,112/358,482,960 = 358,482,960/x
  3. Step 3: Cross multiply
    165,947,112x = 358,482,960 × 358,482,960
  4. Step 4: Simplify right side
    165,947,112x = 128,510,032,610,361,600
  5. Step 5: Solve for x
    x = 128,510,032,610,361,600/165,947,112
  6. Step 6: Final answer
    x = 774,403,549.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.