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Finding the Third Proportional to 177,248,112 and 284,788,384.50

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Solution

The third proportional to 177,248,112 and 284,788,384.50 is: 457,575,671.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,248,112 : 284,788,384.50 = 284,788,384.50 : x
  2. Step 2: Convert to fraction form
    177,248,112/284,788,384.50 = 284,788,384.50/x
  3. Step 3: Cross multiply
    177,248,112x = 284,788,384.50 × 284,788,384.50
  4. Step 4: Simplify right side
    177,248,112x = 81,104,423,946,119,840
  5. Step 5: Solve for x
    x = 81,104,423,946,119,840/177,248,112
  6. Step 6: Final answer
    x = 457,575,671.93

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.