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Finding the Third Proportional to 101,948,442,538 and 159,927,021,142

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Solution

The third proportional to 101,948,442,538 and 159,927,021,142 is: 250,878,301,371.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,948,442,538 : 159,927,021,142 = 159,927,021,142 : x
  2. Step 2: Convert to fraction form
    101,948,442,538/159,927,021,142 = 159,927,021,142/x
  3. Step 3: Cross multiply
    101,948,442,538x = 159,927,021,142 × 159,927,021,142
  4. Step 4: Simplify right side
    101,948,442,538x = 25,576,652,091,353,716,490,240
  5. Step 5: Solve for x
    x = 25,576,652,091,353,716,490,240/101,948,442,538
  6. Step 6: Final answer
    x = 250,878,301,371.01

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.