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Finding the Third Proportional to 109,354,998 and 153,821,349

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Solution

The third proportional to 109,354,998 and 153,821,349 is: 216,368,779.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,354,998 : 153,821,349 = 153,821,349 : x
  2. Step 2: Convert to fraction form
    109,354,998/153,821,349 = 153,821,349/x
  3. Step 3: Cross multiply
    109,354,998x = 153,821,349 × 153,821,349
  4. Step 4: Simplify right side
    109,354,998x = 23,661,007,408,179,800
  5. Step 5: Solve for x
    x = 23,661,007,408,179,800/109,354,998
  6. Step 6: Final answer
    x = 216,368,779.12

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.