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Finding the Third Proportional to 85,288,024.13 and 121,878,562.50

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Solution

The third proportional to 85,288,024.13 and 121,878,562.50 is: 174,167,289.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,288,024.13 : 121,878,562.50 = 121,878,562.50 : x
  2. Step 2: Convert to fraction form
    85,288,024.13/121,878,562.50 = 121,878,562.50/x
  3. Step 3: Cross multiply
    85,288,024.13x = 121,878,562.50 × 121,878,562.50
  4. Step 4: Simplify right side
    85,288,024.13x = 14,854,383,997,066,406
  5. Step 5: Solve for x
    x = 14,854,383,997,066,406/85,288,024.13
  6. Step 6: Final answer
    x = 174,167,289.60

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.