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Finding the Third Proportional to 109,409,805 and 173,247,655.50

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Solution

The third proportional to 109,409,805 and 173,247,655.50 is: 274,333,275.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,409,805 : 173,247,655.50 = 173,247,655.50 : x
  2. Step 2: Convert to fraction form
    109,409,805/173,247,655.50 = 173,247,655.50/x
  3. Step 3: Cross multiply
    109,409,805x = 173,247,655.50 × 173,247,655.50
  4. Step 4: Simplify right side
    109,409,805x = 30,014,750,136,246,680
  5. Step 5: Solve for x
    x = 30,014,750,136,246,680/109,409,805
  6. Step 6: Final answer
    x = 274,333,275.12

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.