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Finding the Third Proportional to 112,370,785,230 and 162,356,379,582

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Solution

The third proportional to 112,370,785,230 and 162,356,379,582 is: 234,576,931,513.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,370,785,230 : 162,356,379,582 = 162,356,379,582 : x
  2. Step 2: Convert to fraction form
    112,370,785,230/162,356,379,582 = 162,356,379,582/x
  3. Step 3: Cross multiply
    112,370,785,230x = 162,356,379,582 × 162,356,379,582
  4. Step 4: Simplify right side
    112,370,785,230x = 26,359,593,990,974,464,851,968
  5. Step 5: Solve for x
    x = 26,359,593,990,974,464,851,968/112,370,785,230
  6. Step 6: Final answer
    x = 234,576,931,513.13

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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.