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Finding the Third Proportional to 76,813,780 and 112,304,430

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Solution

The third proportional to 76,813,780 and 112,304,430 is: 164,193,000.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,813,780 : 112,304,430 = 112,304,430 : x
  2. Step 2: Convert to fraction form
    76,813,780/112,304,430 = 112,304,430/x
  3. Step 3: Cross multiply
    76,813,780x = 112,304,430 × 112,304,430
  4. Step 4: Simplify right side
    76,813,780x = 12,612,284,997,624,900
  5. Step 5: Solve for x
    x = 12,612,284,997,624,900/76,813,780
  6. Step 6: Final answer
    x = 164,193,000.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.