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Finding the Third Proportional to 98,183,342 and 213,605,023

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Solution

The third proportional to 98,183,342 and 213,605,023 is: 464,713,310.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,183,342 : 213,605,023 = 213,605,023 : x
  2. Step 2: Convert to fraction form
    98,183,342/213,605,023 = 213,605,023/x
  3. Step 3: Cross multiply
    98,183,342x = 213,605,023 × 213,605,023
  4. Step 4: Simplify right side
    98,183,342x = 45,627,105,850,830,528
  5. Step 5: Solve for x
    x = 45,627,105,850,830,528/98,183,342
  6. Step 6: Final answer
    x = 464,713,310.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.