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Finding the Third Proportional to 166,781,018,263.50 and 234,864,425,493

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Solution

The third proportional to 166,781,018,263.50 and 234,864,425,493 is: 330,740,865,696.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,781,018,263.50 : 234,864,425,493 = 234,864,425,493 : x
  2. Step 2: Convert to fraction form
    166,781,018,263.50/234,864,425,493 = 234,864,425,493/x
  3. Step 3: Cross multiply
    166,781,018,263.50x = 234,864,425,493 × 234,864,425,493
  4. Step 4: Simplify right side
    166,781,018,263.50x = 55,161,298,362,156,946,817,024
  5. Step 5: Solve for x
    x = 55,161,298,362,156,946,817,024/166,781,018,263.50
  6. Step 6: Final answer
    x = 330,740,865,696.16

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.