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Finding the Third Proportional to 69,289,300 and 148,813,736

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Solution

The third proportional to 69,289,300 and 148,813,736 is: 319,609,637.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,289,300 : 148,813,736 = 148,813,736 : x
  2. Step 2: Convert to fraction form
    69,289,300/148,813,736 = 148,813,736/x
  3. Step 3: Cross multiply
    69,289,300x = 148,813,736 × 148,813,736
  4. Step 4: Simplify right side
    69,289,300x = 22,145,528,022,277,696
  5. Step 5: Solve for x
    x = 22,145,528,022,277,696/69,289,300
  6. Step 6: Final answer
    x = 319,609,637.02

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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.