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Finding the Third Proportional to 254,663,365.50 and 545,630,796

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Solution

The third proportional to 254,663,365.50 and 545,630,796 is: 1,169,045,123.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,663,365.50 : 545,630,796 = 545,630,796 : x
  2. Step 2: Convert to fraction form
    254,663,365.50/545,630,796 = 545,630,796/x
  3. Step 3: Cross multiply
    254,663,365.50x = 545,630,796 × 545,630,796
  4. Step 4: Simplify right side
    254,663,365.50x = 297,712,965,543,593,600
  5. Step 5: Solve for x
    x = 297,712,965,543,593,600/254,663,365.50
  6. Step 6: Final answer
    x = 1,169,045,123.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.