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Finding the Third Proportional to 82,467,288 and 121,176,528

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Solution

The third proportional to 82,467,288 and 121,176,528 is: 178,055,460.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,467,288 : 121,176,528 = 121,176,528 : x
  2. Step 2: Convert to fraction form
    82,467,288/121,176,528 = 121,176,528/x
  3. Step 3: Cross multiply
    82,467,288x = 121,176,528 × 121,176,528
  4. Step 4: Simplify right side
    82,467,288x = 14,683,750,938,134,784
  5. Step 5: Solve for x
    x = 14,683,750,938,134,784/82,467,288
  6. Step 6: Final answer
    x = 178,055,460.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.