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Finding the Third Proportional to 102,347,211 and 146,357,707.50

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Solution

The third proportional to 102,347,211 and 146,357,707.50 is: 209,293,231.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,347,211 : 146,357,707.50 = 146,357,707.50 : x
  2. Step 2: Convert to fraction form
    102,347,211/146,357,707.50 = 146,357,707.50/x
  3. Step 3: Cross multiply
    102,347,211x = 146,357,707.50 × 146,357,707.50
  4. Step 4: Simplify right side
    102,347,211x = 21,420,578,544,655,556
  5. Step 5: Solve for x
    x = 21,420,578,544,655,556/102,347,211
  6. Step 6: Final answer
    x = 209,293,231.69

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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.