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Finding the Third Proportional to 176,064,477,884 and 386,717,328,177

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Solution

The third proportional to 176,064,477,884 and 386,717,328,177 is: 849,406,386,283.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,064,477,884 : 386,717,328,177 = 386,717,328,177 : x
  2. Step 2: Convert to fraction form
    176,064,477,884/386,717,328,177 = 386,717,328,177/x
  3. Step 3: Cross multiply
    176,064,477,884x = 386,717,328,177 × 386,717,328,177
  4. Step 4: Simplify right side
    176,064,477,884x = 149,550,291,912,357,511,692,288
  5. Step 5: Solve for x
    x = 149,550,291,912,357,511,692,288/176,064,477,884
  6. Step 6: Final answer
    x = 849,406,386,283.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.