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Finding the Third Proportional to 176,971,155 and 277,008,192.50

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Solution

The third proportional to 176,971,155 and 277,008,192.50 is: 433,593,478.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,971,155 : 277,008,192.50 = 277,008,192.50 : x
  2. Step 2: Convert to fraction form
    176,971,155/277,008,192.50 = 277,008,192.50/x
  3. Step 3: Cross multiply
    176,971,155x = 277,008,192.50 × 277,008,192.50
  4. Step 4: Simplify right side
    176,971,155x = 76,733,538,712,117,056
  5. Step 5: Solve for x
    x = 76,733,538,712,117,056/176,971,155
  6. Step 6: Final answer
    x = 433,593,478.62

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.