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Finding the Third Proportional to 197,692,012.50 and 411,746,872.50

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Solution

The third proportional to 197,692,012.50 and 411,746,872.50 is: 857,573,782.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,692,012.50 : 411,746,872.50 = 411,746,872.50 : x
  2. Step 2: Convert to fraction form
    197,692,012.50/411,746,872.50 = 411,746,872.50/x
  3. Step 3: Cross multiply
    197,692,012.50x = 411,746,872.50 × 411,746,872.50
  4. Step 4: Simplify right side
    197,692,012.50x = 169,535,487,013,531,264
  5. Step 5: Solve for x
    x = 169,535,487,013,531,264/197,692,012.50
  6. Step 6: Final answer
    x = 857,573,782.92

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.