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Finding the Third Proportional to 82,290,000 and 112,082,820

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Solution

The third proportional to 82,290,000 and 112,082,820 is: 152,662,031.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,290,000 : 112,082,820 = 112,082,820 : x
  2. Step 2: Convert to fraction form
    82,290,000/112,082,820 = 112,082,820/x
  3. Step 3: Cross multiply
    82,290,000x = 112,082,820 × 112,082,820
  4. Step 4: Simplify right side
    82,290,000x = 12,562,558,539,152,400
  5. Step 5: Solve for x
    x = 12,562,558,539,152,400/82,290,000
  6. Step 6: Final answer
    x = 152,662,031.10

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.