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Finding the Third Proportional to 82,988,967 and 133,340,643

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Solution

The third proportional to 82,988,967 and 133,340,643 is: 214,242,057.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,988,967 : 133,340,643 = 133,340,643 : x
  2. Step 2: Convert to fraction form
    82,988,967/133,340,643 = 133,340,643/x
  3. Step 3: Cross multiply
    82,988,967x = 133,340,643 × 133,340,643
  4. Step 4: Simplify right side
    82,988,967x = 17,779,727,075,653,448
  5. Step 5: Solve for x
    x = 17,779,727,075,653,448/82,988,967
  6. Step 6: Final answer
    x = 214,242,057.93

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.