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Finding the Third Proportional to 109,282,787.50 and 178,430,065.50

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Solution

The third proportional to 109,282,787.50 and 178,430,065.50 is: 291,329,394.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,282,787.50 : 178,430,065.50 = 178,430,065.50 : x
  2. Step 2: Convert to fraction form
    109,282,787.50/178,430,065.50 = 178,430,065.50/x
  3. Step 3: Cross multiply
    109,282,787.50x = 178,430,065.50 × 178,430,065.50
  4. Step 4: Simplify right side
    109,282,787.50x = 31,837,288,274,334,292
  5. Step 5: Solve for x
    x = 31,837,288,274,334,292/109,282,787.50
  6. Step 6: Final answer
    x = 291,329,394.16

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.