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Finding the Third Proportional to 108,008,454 and 232,905,408

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Solution

The third proportional to 108,008,454 and 232,905,408 is: 502,228,548.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,008,454 : 232,905,408 = 232,905,408 : x
  2. Step 2: Convert to fraction form
    108,008,454/232,905,408 = 232,905,408/x
  3. Step 3: Cross multiply
    108,008,454x = 232,905,408 × 232,905,408
  4. Step 4: Simplify right side
    108,008,454x = 54,244,929,075,646,464
  5. Step 5: Solve for x
    x = 54,244,929,075,646,464/108,008,454
  6. Step 6: Final answer
    x = 502,228,548.48

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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.