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Finding the Third Proportional to 111,574,920 and 260,545,720.50

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Solution

The third proportional to 111,574,920 and 260,545,720.50 is: 608,416,949.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,574,920 : 260,545,720.50 = 260,545,720.50 : x
  2. Step 2: Convert to fraction form
    111,574,920/260,545,720.50 = 260,545,720.50/x
  3. Step 3: Cross multiply
    111,574,920x = 260,545,720.50 × 260,545,720.50
  4. Step 4: Simplify right side
    111,574,920x = 67,884,072,470,864,120
  5. Step 5: Solve for x
    x = 67,884,072,470,864,120/111,574,920
  6. Step 6: Final answer
    x = 608,416,949.53

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.