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Finding the Third Proportional to 102,136,234 and 152,842,479

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Solution

The third proportional to 102,136,234 and 152,842,479 is: 228,722,192.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,136,234 : 152,842,479 = 152,842,479 : x
  2. Step 2: Convert to fraction form
    102,136,234/152,842,479 = 152,842,479/x
  3. Step 3: Cross multiply
    102,136,234x = 152,842,479 × 152,842,479
  4. Step 4: Simplify right side
    102,136,234x = 23,360,823,386,865,440
  5. Step 5: Solve for x
    x = 23,360,823,386,865,440/102,136,234
  6. Step 6: Final answer
    x = 228,722,192.62

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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.