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Finding the Third Proportional to 177,104,385 and 277,799,348

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Solution

The third proportional to 177,104,385 and 277,799,348 is: 435,745,719.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,104,385 : 277,799,348 = 277,799,348 : x
  2. Step 2: Convert to fraction form
    177,104,385/277,799,348 = 277,799,348/x
  3. Step 3: Cross multiply
    177,104,385x = 277,799,348 × 277,799,348
  4. Step 4: Simplify right side
    177,104,385x = 77,172,477,749,225,104
  5. Step 5: Solve for x
    x = 77,172,477,749,225,104/177,104,385
  6. Step 6: Final answer
    x = 435,745,719.96

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.