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Finding the Third Proportional to 98,816,122 and 214,643,088

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Solution

The third proportional to 98,816,122 and 214,643,088 is: 466,236,220.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,816,122 : 214,643,088 = 214,643,088 : x
  2. Step 2: Convert to fraction form
    98,816,122/214,643,088 = 214,643,088/x
  3. Step 3: Cross multiply
    98,816,122x = 214,643,088 × 214,643,088
  4. Step 4: Simplify right side
    98,816,122x = 46,071,655,226,175,744
  5. Step 5: Solve for x
    x = 46,071,655,226,175,744/98,816,122
  6. Step 6: Final answer
    x = 466,236,220.30

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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.