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Finding the Third Proportional to 242,362,101.38 and 383,833,404

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Solution

The third proportional to 242,362,101.38 and 383,833,404 is: 607,884,158.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,362,101.38 : 383,833,404 = 383,833,404 : x
  2. Step 2: Convert to fraction form
    242,362,101.38/383,833,404 = 383,833,404/x
  3. Step 3: Cross multiply
    242,362,101.38x = 383,833,404 × 383,833,404
  4. Step 4: Simplify right side
    242,362,101.38x = 147,328,082,026,227,200
  5. Step 5: Solve for x
    x = 147,328,082,026,227,200/242,362,101.38
  6. Step 6: Final answer
    x = 607,884,158.42

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.