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Finding the Third Proportional to 227,776,898.25 and 340,172,743.50

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Solution

The third proportional to 227,776,898.25 and 340,172,743.50 is: 508,029,990.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,776,898.25 : 340,172,743.50 = 340,172,743.50 : x
  2. Step 2: Convert to fraction form
    227,776,898.25/340,172,743.50 = 340,172,743.50/x
  3. Step 3: Cross multiply
    227,776,898.25x = 340,172,743.50 × 340,172,743.50
  4. Step 4: Simplify right side
    227,776,898.25x = 115,717,495,420,316,800
  5. Step 5: Solve for x
    x = 115,717,495,420,316,800/227,776,898.25
  6. Step 6: Final answer
    x = 508,029,990.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.