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Finding the Third Proportional to 68,254,410 and 96,577,897.50

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Solution

The third proportional to 68,254,410 and 96,577,897.50 is: 136,654,763.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,254,410 : 96,577,897.50 = 96,577,897.50 : x
  2. Step 2: Convert to fraction form
    68,254,410/96,577,897.50 = 96,577,897.50/x
  3. Step 3: Cross multiply
    68,254,410x = 96,577,897.50 × 96,577,897.50
  4. Step 4: Simplify right side
    68,254,410x = 9,327,290,285,520,506
  5. Step 5: Solve for x
    x = 9,327,290,285,520,506/68,254,410
  6. Step 6: Final answer
    x = 136,654,763.93

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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.