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Finding the Third Proportional to 176,999,353.50 and 277,659,507

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Solution

The third proportional to 176,999,353.50 and 277,659,507 is: 435,565,443.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,999,353.50 : 277,659,507 = 277,659,507 : x
  2. Step 2: Convert to fraction form
    176,999,353.50/277,659,507 = 277,659,507/x
  3. Step 3: Cross multiply
    176,999,353.50x = 277,659,507 × 277,659,507
  4. Step 4: Simplify right side
    176,999,353.50x = 77,094,801,827,483,056
  5. Step 5: Solve for x
    x = 77,094,801,827,483,056/176,999,353.50
  6. Step 6: Final answer
    x = 435,565,443.05

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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.