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Finding the Third Proportional to 129,768,482 and 194,678,562

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Solution

The third proportional to 129,768,482 and 194,678,562 is: 292,056,606.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,768,482 : 194,678,562 = 194,678,562 : x
  2. Step 2: Convert to fraction form
    129,768,482/194,678,562 = 194,678,562/x
  3. Step 3: Cross multiply
    129,768,482x = 194,678,562 × 194,678,562
  4. Step 4: Simplify right side
    129,768,482x = 37,899,742,502,387,840
  5. Step 5: Solve for x
    x = 37,899,742,502,387,840/129,768,482
  6. Step 6: Final answer
    x = 292,056,606.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.