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Finding the Third Proportional to 102,347,213 and 146,357,710

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Solution

The third proportional to 102,347,213 and 146,357,710 is: 209,293,234.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,347,213 : 146,357,710 = 146,357,710 : x
  2. Step 2: Convert to fraction form
    102,347,213/146,357,710 = 146,357,710/x
  3. Step 3: Cross multiply
    102,347,213x = 146,357,710 × 146,357,710
  4. Step 4: Simplify right side
    102,347,213x = 21,420,579,276,444,100
  5. Step 5: Solve for x
    x = 21,420,579,276,444,100/102,347,213
  6. Step 6: Final answer
    x = 209,293,234.75

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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.