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Finding the Third Proportional to 109,354,996 and 153,821,346

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Solution

The third proportional to 109,354,996 and 153,821,346 is: 216,368,774.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,354,996 : 153,821,346 = 153,821,346 : x
  2. Step 2: Convert to fraction form
    109,354,996/153,821,346 = 153,821,346/x
  3. Step 3: Cross multiply
    109,354,996x = 153,821,346 × 153,821,346
  4. Step 4: Simplify right side
    109,354,996x = 23,661,006,485,251,716
  5. Step 5: Solve for x
    x = 23,661,006,485,251,716/109,354,996
  6. Step 6: Final answer
    x = 216,368,774.64

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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.