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Finding the Third Proportional to 102,347,027.16 and 146,357,374.85

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Solution

The third proportional to 102,347,027.16 and 146,357,374.85 is: 209,292,656.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,347,027.16 : 146,357,374.85 = 146,357,374.85 : x
  2. Step 2: Convert to fraction form
    102,347,027.16/146,357,374.85 = 146,357,374.85/x
  3. Step 3: Cross multiply
    102,347,027.16x = 146,357,374.85 × 146,357,374.85
  4. Step 4: Simplify right side
    102,347,027.16x = 21,420,481,173,440,048
  5. Step 5: Solve for x
    x = 21,420,481,173,440,048/102,347,027.16
  6. Step 6: Final answer
    x = 209,292,656.26

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.