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Finding the Third Proportional to 161,044,588,612.50 and 350,363,800,113

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Solution

The third proportional to 161,044,588,612.50 and 350,363,800,113 is: 762,241,025,837.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,044,588,612.50 : 350,363,800,113 = 350,363,800,113 : x
  2. Step 2: Convert to fraction form
    161,044,588,612.50/350,363,800,113 = 350,363,800,113/x
  3. Step 3: Cross multiply
    161,044,588,612.50x = 350,363,800,113 × 350,363,800,113
  4. Step 4: Simplify right side
    161,044,588,612.50x = 122,754,792,429,622,225,010,688
  5. Step 5: Solve for x
    x = 122,754,792,429,622,225,010,688/161,044,588,612.50
  6. Step 6: Final answer
    x = 762,241,025,837.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.