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Finding the Third Proportional to 109,089,365 and 235,483,776

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Solution

The third proportional to 109,089,365 and 235,483,776 is: 508,322,775.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,089,365 : 235,483,776 = 235,483,776 : x
  2. Step 2: Convert to fraction form
    109,089,365/235,483,776 = 235,483,776/x
  3. Step 3: Cross multiply
    109,089,365x = 235,483,776 × 235,483,776
  4. Step 4: Simplify right side
    109,089,365x = 55,452,608,759,218,176
  5. Step 5: Solve for x
    x = 55,452,608,759,218,176/109,089,365
  6. Step 6: Final answer
    x = 508,322,775.18

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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.