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Finding the Third Proportional to 136,117,039.50 and 209,221,643.25

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Solution

The third proportional to 136,117,039.50 and 209,221,643.25 is: 321,588,657.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,117,039.50 : 209,221,643.25 = 209,221,643.25 : x
  2. Step 2: Convert to fraction form
    136,117,039.50/209,221,643.25 = 209,221,643.25/x
  3. Step 3: Cross multiply
    136,117,039.50x = 209,221,643.25 × 209,221,643.25
  4. Step 4: Simplify right side
    136,117,039.50x = 43,773,696,004,230,272
  5. Step 5: Solve for x
    x = 43,773,696,004,230,272/136,117,039.50
  6. Step 6: Final answer
    x = 321,588,657.56

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.