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Finding the Third Proportional to 281,424,210.75 and 436,285,903.50

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Solution

The third proportional to 281,424,210.75 and 436,285,903.50 is: 676,364,656.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,424,210.75 : 436,285,903.50 = 436,285,903.50 : x
  2. Step 2: Convert to fraction form
    281,424,210.75/436,285,903.50 = 436,285,903.50/x
  3. Step 3: Cross multiply
    281,424,210.75x = 436,285,903.50 × 436,285,903.50
  4. Step 4: Simplify right side
    281,424,210.75x = 190,345,389,592,811,328
  5. Step 5: Solve for x
    x = 190,345,389,592,811,328/281,424,210.75
  6. Step 6: Final answer
    x = 676,364,656.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.