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Finding the Third Proportional to 82,964,709 and 119,513,907

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Solution

The third proportional to 82,964,709 and 119,513,907 is: 172,164,455.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,964,709 : 119,513,907 = 119,513,907 : x
  2. Step 2: Convert to fraction form
    82,964,709/119,513,907 = 119,513,907/x
  3. Step 3: Cross multiply
    82,964,709x = 119,513,907 × 119,513,907
  4. Step 4: Simplify right side
    82,964,709x = 14,283,573,966,404,648
  5. Step 5: Solve for x
    x = 14,283,573,966,404,648/82,964,709
  6. Step 6: Final answer
    x = 172,164,455.69

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.