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Finding the Third Proportional to 47,301,808 and 101,986,928

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Solution

The third proportional to 47,301,808 and 101,986,928 is: 219,892,936.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,301,808 : 101,986,928 = 101,986,928 : x
  2. Step 2: Convert to fraction form
    47,301,808/101,986,928 = 101,986,928/x
  3. Step 3: Cross multiply
    47,301,808x = 101,986,928 × 101,986,928
  4. Step 4: Simplify right side
    47,301,808x = 10,401,333,482,877,184
  5. Step 5: Solve for x
    x = 10,401,333,482,877,184/47,301,808
  6. Step 6: Final answer
    x = 219,892,936.92

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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.