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Finding the Third Proportional to 112,370,785,260 and 162,356,379,612

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Solution

The third proportional to 112,370,785,260 and 162,356,379,612 is: 234,576,931,537.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,370,785,260 : 162,356,379,612 = 162,356,379,612 : x
  2. Step 2: Convert to fraction form
    112,370,785,260/162,356,379,612 = 162,356,379,612/x
  3. Step 3: Cross multiply
    112,370,785,260x = 162,356,379,612 × 162,356,379,612
  4. Step 4: Simplify right side
    112,370,785,260x = 26,359,594,000,715,849,138,176
  5. Step 5: Solve for x
    x = 26,359,594,000,715,849,138,176/112,370,785,260
  6. Step 6: Final answer
    x = 234,576,931,537.20

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.