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Finding the Third Proportional to 100,432,314,187 and 216,841,227,058

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Solution

The third proportional to 100,432,314,187 and 216,841,227,058 is: 468,177,181,145.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,432,314,187 : 216,841,227,058 = 216,841,227,058 : x
  2. Step 2: Convert to fraction form
    100,432,314,187/216,841,227,058 = 216,841,227,058/x
  3. Step 3: Cross multiply
    100,432,314,187x = 216,841,227,058 × 216,841,227,058
  4. Step 4: Simplify right side
    100,432,314,187x = 47,020,117,752,019,112,951,808
  5. Step 5: Solve for x
    x = 47,020,117,752,019,112,951,808/100,432,314,187
  6. Step 6: Final answer
    x = 468,177,181,145.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.