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Finding the Third Proportional to 283,258,114.50 and 609,562,963.50

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Solution

The third proportional to 283,258,114.50 and 609,562,963.50 is: 1,311,761,208.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,258,114.50 : 609,562,963.50 = 609,562,963.50 : x
  2. Step 2: Convert to fraction form
    283,258,114.50/609,562,963.50 = 609,562,963.50/x
  3. Step 3: Cross multiply
    283,258,114.50x = 609,562,963.50 × 609,562,963.50
  4. Step 4: Simplify right side
    283,258,114.50x = 371,567,006,470,902,336
  5. Step 5: Solve for x
    x = 371,567,006,470,902,336/283,258,114.50
  6. Step 6: Final answer
    x = 1,311,761,208.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.