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Finding the Third Proportional to 101,948,441,948 and 159,927,022,740

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Solution

The third proportional to 101,948,441,948 and 159,927,022,740 is: 250,878,307,836.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,948,441,948 : 159,927,022,740 = 159,927,022,740 : x
  2. Step 2: Convert to fraction form
    101,948,441,948/159,927,022,740 = 159,927,022,740/x
  3. Step 3: Cross multiply
    101,948,441,948x = 159,927,022,740 × 159,927,022,740
  4. Step 4: Simplify right side
    101,948,441,948x = 25,576,652,602,480,477,077,504
  5. Step 5: Solve for x
    x = 25,576,652,602,480,477,077,504/101,948,441,948
  6. Step 6: Final answer
    x = 250,878,307,836.49

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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.