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Finding the Third Proportional to 176,569,840 and 380,125,056

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Solution

The third proportional to 176,569,840 and 380,125,056 is: 818,345,070.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,569,840 : 380,125,056 = 380,125,056 : x
  2. Step 2: Convert to fraction form
    176,569,840/380,125,056 = 380,125,056/x
  3. Step 3: Cross multiply
    176,569,840x = 380,125,056 × 380,125,056
  4. Step 4: Simplify right side
    176,569,840x = 144,495,058,199,003,136
  5. Step 5: Solve for x
    x = 144,495,058,199,003,136/176,569,840
  6. Step 6: Final answer
    x = 818,345,070.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.