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Finding the Third Proportional to 109,089,363 and 235,483,772

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Solution

The third proportional to 109,089,363 and 235,483,772 is: 508,322,767.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,089,363 : 235,483,772 = 235,483,772 : x
  2. Step 2: Convert to fraction form
    109,089,363/235,483,772 = 235,483,772/x
  3. Step 3: Cross multiply
    109,089,363x = 235,483,772 × 235,483,772
  4. Step 4: Simplify right side
    109,089,363x = 55,452,606,875,347,984
  5. Step 5: Solve for x
    x = 55,452,606,875,347,984/109,089,363
  6. Step 6: Final answer
    x = 508,322,767.23

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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.