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Finding the Third Proportional to 82,964,706 and 119,505,411

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Solution

The third proportional to 82,964,706 and 119,505,411 is: 172,139,985.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,964,706 : 119,505,411 = 119,505,411 : x
  2. Step 2: Convert to fraction form
    82,964,706/119,505,411 = 119,505,411/x
  3. Step 3: Cross multiply
    82,964,706x = 119,505,411 × 119,505,411
  4. Step 4: Simplify right side
    82,964,706x = 14,281,543,258,278,920
  5. Step 5: Solve for x
    x = 14,281,543,258,278,920/82,964,706
  6. Step 6: Final answer
    x = 172,139,985.14

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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.