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Finding the Third Proportional to 175,439,708,827.50 and 384,512,359,353

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Solution

The third proportional to 175,439,708,827.50 and 384,512,359,353 is: 842,738,257,395.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,439,708,827.50 : 384,512,359,353 = 384,512,359,353 : x
  2. Step 2: Convert to fraction form
    175,439,708,827.50/384,512,359,353 = 384,512,359,353/x
  3. Step 3: Cross multiply
    175,439,708,827.50x = 384,512,359,353 × 384,512,359,353
  4. Step 4: Simplify right side
    175,439,708,827.50x = 147,849,754,495,210,598,957,056
  5. Step 5: Solve for x
    x = 147,849,754,495,210,598,957,056/175,439,708,827.50
  6. Step 6: Final answer
    x = 842,738,257,395.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.