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Finding the Third Proportional to 121,199,500.13 and 188,051,873.06

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Solution

The third proportional to 121,199,500.13 and 188,051,873.06 is: 291,779,313.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,199,500.13 : 188,051,873.06 = 188,051,873.06 : x
  2. Step 2: Convert to fraction form
    121,199,500.13/188,051,873.06 = 188,051,873.06/x
  3. Step 3: Cross multiply
    121,199,500.13x = 188,051,873.06 × 188,051,873.06
  4. Step 4: Simplify right side
    121,199,500.13x = 35,363,506,962,314,612
  5. Step 5: Solve for x
    x = 35,363,506,962,314,612/121,199,500.13
  6. Step 6: Final answer
    x = 291,779,313.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.