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Finding the Third Proportional to 65,205,057,188 and 97,417,766,154

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Solution

The third proportional to 65,205,057,188 and 97,417,766,154 is: 145,544,250,273.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,205,057,188 : 97,417,766,154 = 97,417,766,154 : x
  2. Step 2: Convert to fraction form
    65,205,057,188/97,417,766,154 = 97,417,766,154/x
  3. Step 3: Cross multiply
    65,205,057,188x = 97,417,766,154 × 97,417,766,154
  4. Step 4: Simplify right side
    65,205,057,188x = 9,490,221,162,435,427,958,784
  5. Step 5: Solve for x
    x = 9,490,221,162,435,427,958,784/65,205,057,188
  6. Step 6: Final answer
    x = 145,544,250,273.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.