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Finding the Third Proportional to 101,421,735 and 151,535,565

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Solution

The third proportional to 101,421,735 and 151,535,565 is: 226,411,305.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,421,735 : 151,535,565 = 151,535,565 : x
  2. Step 2: Convert to fraction form
    101,421,735/151,535,565 = 151,535,565/x
  3. Step 3: Cross multiply
    101,421,735x = 151,535,565 × 151,535,565
  4. Step 4: Simplify right side
    101,421,735x = 22,963,027,459,869,224
  5. Step 5: Solve for x
    x = 22,963,027,459,869,224/101,421,735
  6. Step 6: Final answer
    x = 226,411,305.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.