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Finding the Third Proportional to 102,347,296 and 146,357,840

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Solution

The third proportional to 102,347,296 and 146,357,840 is: 209,293,436.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,347,296 : 146,357,840 = 146,357,840 : x
  2. Step 2: Convert to fraction form
    102,347,296/146,357,840 = 146,357,840/x
  3. Step 3: Cross multiply
    102,347,296x = 146,357,840 × 146,357,840
  4. Step 4: Simplify right side
    102,347,296x = 21,420,617,329,465,600
  5. Step 5: Solve for x
    x = 21,420,617,329,465,600/102,347,296
  6. Step 6: Final answer
    x = 209,293,436.82

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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.