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Finding the Third Proportional to 137,968,276.50 and 300,430,953

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Solution

The third proportional to 137,968,276.50 and 300,430,953 is: 654,199,355.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,968,276.50 : 300,430,953 = 300,430,953 : x
  2. Step 2: Convert to fraction form
    137,968,276.50/300,430,953 = 300,430,953/x
  3. Step 3: Cross multiply
    137,968,276.50x = 300,430,953 × 300,430,953
  4. Step 4: Simplify right side
    137,968,276.50x = 90,258,757,520,488,208
  5. Step 5: Solve for x
    x = 90,258,757,520,488,208/137,968,276.50
  6. Step 6: Final answer
    x = 654,199,355.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.