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Finding the Third Proportional to 91,086,634.50 and 198,346,129.50

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Solution

The third proportional to 91,086,634.50 and 198,346,129.50 is: 431,909,547.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,086,634.50 : 198,346,129.50 = 198,346,129.50 : x
  2. Step 2: Convert to fraction form
    91,086,634.50/198,346,129.50 = 198,346,129.50/x
  3. Step 3: Cross multiply
    91,086,634.50x = 198,346,129.50 × 198,346,129.50
  4. Step 4: Simplify right side
    91,086,634.50x = 39,341,187,087,630,768
  5. Step 5: Solve for x
    x = 39,341,187,087,630,768/91,086,634.50
  6. Step 6: Final answer
    x = 431,909,547.47

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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.