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Finding the Third Proportional to 82,290,050 and 112,082,871

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Solution

The third proportional to 82,290,050 and 112,082,871 is: 152,662,077.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,290,050 : 112,082,871 = 112,082,871 : x
  2. Step 2: Convert to fraction form
    82,290,050/112,082,871 = 112,082,871/x
  3. Step 3: Cross multiply
    82,290,050x = 112,082,871 × 112,082,871
  4. Step 4: Simplify right side
    82,290,050x = 12,562,569,971,602,640
  5. Step 5: Solve for x
    x = 12,562,569,971,602,640/82,290,050
  6. Step 6: Final answer
    x = 152,662,077.27

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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.