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Finding the Third Proportional to 176,864,784 and 380,603,424

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Solution

The third proportional to 176,864,784 and 380,603,424 is: 819,037,928.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,864,784 : 380,603,424 = 380,603,424 : x
  2. Step 2: Convert to fraction form
    176,864,784/380,603,424 = 380,603,424/x
  3. Step 3: Cross multiply
    176,864,784x = 380,603,424 × 380,603,424
  4. Step 4: Simplify right side
    176,864,784x = 144,858,966,360,523,776
  5. Step 5: Solve for x
    x = 144,858,966,360,523,776/176,864,784
  6. Step 6: Final answer
    x = 819,037,928.77

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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.