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Finding the Third Proportional to 65,205,057,190 and 97,417,766,157

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Solution

The third proportional to 65,205,057,190 and 97,417,766,157 is: 145,544,250,277.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,205,057,190 : 97,417,766,157 = 97,417,766,157 : x
  2. Step 2: Convert to fraction form
    65,205,057,190/97,417,766,157 = 97,417,766,157/x
  3. Step 3: Cross multiply
    65,205,057,190x = 97,417,766,157 × 97,417,766,157
  4. Step 4: Simplify right side
    65,205,057,190x = 9,490,221,163,019,933,581,312
  5. Step 5: Solve for x
    x = 9,490,221,163,019,933,581,312/65,205,057,190
  6. Step 6: Final answer
    x = 145,544,250,277.50

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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.