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Finding the Third Proportional to 176,569,652.25 and 380,124,515.25

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Solution

The third proportional to 176,569,652.25 and 380,124,515.25 is: 818,343,612.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,569,652.25 : 380,124,515.25 = 380,124,515.25 : x
  2. Step 2: Convert to fraction form
    176,569,652.25/380,124,515.25 = 380,124,515.25/x
  3. Step 3: Cross multiply
    176,569,652.25x = 380,124,515.25 × 380,124,515.25
  4. Step 4: Simplify right side
    176,569,652.25x = 144,494,647,094,047,488
  5. Step 5: Solve for x
    x = 144,494,647,094,047,488/176,569,652.25
  6. Step 6: Final answer
    x = 818,343,612.58

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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.