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Finding the Third Proportional to 144,276,417 and 292,567,492.69

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Solution

The third proportional to 144,276,417 and 292,567,492.69 is: 593,276,015.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,276,417 : 292,567,492.69 = 292,567,492.69 : x
  2. Step 2: Convert to fraction form
    144,276,417/292,567,492.69 = 292,567,492.69/x
  3. Step 3: Cross multiply
    144,276,417x = 292,567,492.69 × 292,567,492.69
  4. Step 4: Simplify right side
    144,276,417x = 85,595,737,777,450,368
  5. Step 5: Solve for x
    x = 85,595,737,777,450,368/144,276,417
  6. Step 6: Final answer
    x = 593,276,015.29

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.