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Finding the Third Proportional to 133,647,798 and 212,662,032

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Solution

The third proportional to 133,647,798 and 212,662,032 is: 338,390,460.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,647,798 : 212,662,032 = 212,662,032 : x
  2. Step 2: Convert to fraction form
    133,647,798/212,662,032 = 212,662,032/x
  3. Step 3: Cross multiply
    133,647,798x = 212,662,032 × 212,662,032
  4. Step 4: Simplify right side
    133,647,798x = 45,225,139,854,369,024
  5. Step 5: Solve for x
    x = 45,225,139,854,369,024/133,647,798
  6. Step 6: Final answer
    x = 338,390,460.08

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.