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Finding the Third Proportional to 121,638,688.50 and 251,900,536.50

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Solution

The third proportional to 121,638,688.50 and 251,900,536.50 is: 521,658,701.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,638,688.50 : 251,900,536.50 = 251,900,536.50 : x
  2. Step 2: Convert to fraction form
    121,638,688.50/251,900,536.50 = 251,900,536.50/x
  3. Step 3: Cross multiply
    121,638,688.50x = 251,900,536.50 × 251,900,536.50
  4. Step 4: Simplify right side
    121,638,688.50x = 63,453,880,288,987,832
  5. Step 5: Solve for x
    x = 63,453,880,288,987,832/121,638,688.50
  6. Step 6: Final answer
    x = 521,658,701.45

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.