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Finding the Third Proportional to 91,990,205.75 and 201,854,071.75

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Solution

The third proportional to 91,990,205.75 and 201,854,071.75 is: 442,928,309.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,990,205.75 : 201,854,071.75 = 201,854,071.75 : x
  2. Step 2: Convert to fraction form
    91,990,205.75/201,854,071.75 = 201,854,071.75/x
  3. Step 3: Cross multiply
    91,990,205.75x = 201,854,071.75 × 201,854,071.75
  4. Step 4: Simplify right side
    91,990,205.75x = 40,745,066,282,054,152
  5. Step 5: Solve for x
    x = 40,745,066,282,054,152/91,990,205.75
  6. Step 6: Final answer
    x = 442,928,309.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.