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Finding the Third Proportional to 82,155,459.94 and 173,478,275.44

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Solution

The third proportional to 82,155,459.94 and 173,478,275.44 is: 366,314,205.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,155,459.94 : 173,478,275.44 = 173,478,275.44 : x
  2. Step 2: Convert to fraction form
    82,155,459.94/173,478,275.44 = 173,478,275.44/x
  3. Step 3: Cross multiply
    82,155,459.94x = 173,478,275.44 × 173,478,275.44
  4. Step 4: Simplify right side
    82,155,459.94x = 30,094,712,048,769,116
  5. Step 5: Solve for x
    x = 30,094,712,048,769,116/82,155,459.94
  6. Step 6: Final answer
    x = 366,314,205.67

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.