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Finding the Third Proportional to 200,941,123.50 and 432,671,686.50

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Solution

The third proportional to 200,941,123.50 and 432,671,686.50 is: 931,640,000.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,941,123.50 : 432,671,686.50 = 432,671,686.50 : x
  2. Step 2: Convert to fraction form
    200,941,123.50/432,671,686.50 = 432,671,686.50/x
  3. Step 3: Cross multiply
    200,941,123.50x = 432,671,686.50 × 432,671,686.50
  4. Step 4: Simplify right side
    200,941,123.50x = 187,204,788,298,754,272
  5. Step 5: Solve for x
    x = 187,204,788,298,754,272/200,941,123.50
  6. Step 6: Final answer
    x = 931,640,000.01

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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.