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Finding the Third Proportional to 83,054,928 and 181,748,607

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Solution

The third proportional to 83,054,928 and 181,748,607 is: 397,719,400.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,054,928 : 181,748,607 = 181,748,607 : x
  2. Step 2: Convert to fraction form
    83,054,928/181,748,607 = 181,748,607/x
  3. Step 3: Cross multiply
    83,054,928x = 181,748,607 × 181,748,607
  4. Step 4: Simplify right side
    83,054,928x = 33,032,556,146,440,448
  5. Step 5: Solve for x
    x = 33,032,556,146,440,448/83,054,928
  6. Step 6: Final answer
    x = 397,719,400.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.