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Finding the Third Proportional to 77,284,836 and 166,676,215.50

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Solution

The third proportional to 77,284,836 and 166,676,215.50 is: 359,461,988.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,284,836 : 166,676,215.50 = 166,676,215.50 : x
  2. Step 2: Convert to fraction form
    77,284,836/166,676,215.50 = 166,676,215.50/x
  3. Step 3: Cross multiply
    77,284,836x = 166,676,215.50 × 166,676,215.50
  4. Step 4: Simplify right side
    77,284,836x = 27,780,960,813,402,440
  5. Step 5: Solve for x
    x = 27,780,960,813,402,440/77,284,836
  6. Step 6: Final answer
    x = 359,461,988.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.