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Finding the Third Proportional to 102,200,548 and 153,263,292

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Solution

The third proportional to 102,200,548 and 153,263,292 is: 229,838,656.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,200,548 : 153,263,292 = 153,263,292 : x
  2. Step 2: Convert to fraction form
    102,200,548/153,263,292 = 153,263,292/x
  3. Step 3: Cross multiply
    102,200,548x = 153,263,292 × 153,263,292
  4. Step 4: Simplify right side
    102,200,548x = 23,489,636,674,677,264
  5. Step 5: Solve for x
    x = 23,489,636,674,677,264/102,200,548
  6. Step 6: Final answer
    x = 229,838,656.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.