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Finding the Third Proportional to 82,964,693 and 119,513,887

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Solution

The third proportional to 82,964,693 and 119,513,887 is: 172,164,431.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,964,693 : 119,513,887 = 119,513,887 : x
  2. Step 2: Convert to fraction form
    82,964,693/119,513,887 = 119,513,887/x
  3. Step 3: Cross multiply
    82,964,693x = 119,513,887 × 119,513,887
  4. Step 4: Simplify right side
    82,964,693x = 14,283,569,185,848,768
  5. Step 5: Solve for x
    x = 14,283,569,185,848,768/82,964,693
  6. Step 6: Final answer
    x = 172,164,431.27

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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.