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Finding the Third Proportional to 76,813,769 and 112,304,415

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Solution

The third proportional to 76,813,769 and 112,304,415 is: 164,192,979.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,813,769 : 112,304,415 = 112,304,415 : x
  2. Step 2: Convert to fraction form
    76,813,769/112,304,415 = 112,304,415/x
  3. Step 3: Cross multiply
    76,813,769x = 112,304,415 × 112,304,415
  4. Step 4: Simplify right side
    76,813,769x = 12,612,281,628,492,224
  5. Step 5: Solve for x
    x = 12,612,281,628,492,224/76,813,769
  6. Step 6: Final answer
    x = 164,192,979.89

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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.