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Finding the Third Proportional to 176,750,264.53 and 384,095,292.19

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Solution

The third proportional to 176,750,264.53 and 384,095,292.19 is: 834,675,941.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,750,264.53 : 384,095,292.19 = 384,095,292.19 : x
  2. Step 2: Convert to fraction form
    176,750,264.53/384,095,292.19 = 384,095,292.19/x
  3. Step 3: Cross multiply
    176,750,264.53x = 384,095,292.19 × 384,095,292.19
  4. Step 4: Simplify right side
    176,750,264.53x = 147,529,193,480,600,992
  5. Step 5: Solve for x
    x = 147,529,193,480,600,992/176,750,264.53
  6. Step 6: Final answer
    x = 834,675,941.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.