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Finding the Third Proportional to 136,620,648.50 and 209,864,277.75

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Solution

The third proportional to 136,620,648.50 and 209,864,277.75 is: 322,374,513.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,620,648.50 : 209,864,277.75 = 209,864,277.75 : x
  2. Step 2: Convert to fraction form
    136,620,648.50/209,864,277.75 = 209,864,277.75/x
  3. Step 3: Cross multiply
    136,620,648.50x = 209,864,277.75 × 209,864,277.75
  4. Step 4: Simplify right side
    136,620,648.50x = 44,043,015,075,529,144
  5. Step 5: Solve for x
    x = 44,043,015,075,529,144/136,620,648.50
  6. Step 6: Final answer
    x = 322,374,513.36

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Why These Related Problems?

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