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Finding the Third Proportional to 260,171,352 and 563,211,670.50

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Solution

The third proportional to 260,171,352 and 563,211,670.50 is: 1,219,224,881.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,171,352 : 563,211,670.50 = 563,211,670.50 : x
  2. Step 2: Convert to fraction form
    260,171,352/563,211,670.50 = 563,211,670.50/x
  3. Step 3: Cross multiply
    260,171,352x = 563,211,670.50 × 563,211,670.50
  4. Step 4: Simplify right side
    260,171,352x = 317,207,385,787,400,576
  5. Step 5: Solve for x
    x = 317,207,385,787,400,576/260,171,352
  6. Step 6: Final answer
    x = 1,219,224,881.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.