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Finding the Third Proportional to 165,634,166 and 358,872,406

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Solution

The third proportional to 165,634,166 and 358,872,406 is: 777,553,368.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,634,166 : 358,872,406 = 358,872,406 : x
  2. Step 2: Convert to fraction form
    165,634,166/358,872,406 = 358,872,406/x
  3. Step 3: Cross multiply
    165,634,166x = 358,872,406 × 358,872,406
  4. Step 4: Simplify right side
    165,634,166x = 128,789,403,788,228,832
  5. Step 5: Solve for x
    x = 128,789,403,788,228,832/165,634,166
  6. Step 6: Final answer
    x = 777,553,368.96

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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.