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Finding the Third Proportional to 109,220,084 and 234,648,724

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Solution

The third proportional to 109,220,084 and 234,648,724 is: 504,119,953.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,220,084 : 234,648,724 = 234,648,724 : x
  2. Step 2: Convert to fraction form
    109,220,084/234,648,724 = 234,648,724/x
  3. Step 3: Cross multiply
    109,220,084x = 234,648,724 × 234,648,724
  4. Step 4: Simplify right side
    109,220,084x = 55,060,023,674,828,176
  5. Step 5: Solve for x
    x = 55,060,023,674,828,176/109,220,084
  6. Step 6: Final answer
    x = 504,119,953.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.