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Finding the Third Proportional to 109,089,352 and 235,483,750

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Solution

The third proportional to 109,089,352 and 235,483,750 is: 508,322,723.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,089,352 : 235,483,750 = 235,483,750 : x
  2. Step 2: Convert to fraction form
    109,089,352/235,483,750 = 235,483,750/x
  3. Step 3: Cross multiply
    109,089,352x = 235,483,750 × 235,483,750
  4. Step 4: Simplify right side
    109,089,352x = 55,452,596,514,062,496
  5. Step 5: Solve for x
    x = 55,452,596,514,062,496/109,089,352
  6. Step 6: Final answer
    x = 508,322,723.51

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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.