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Finding the Third Proportional to 109,507,536 and 240,430,176

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Solution

The third proportional to 109,507,536 and 240,430,176 is: 527,878,460.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,507,536 : 240,430,176 = 240,430,176 : x
  2. Step 2: Convert to fraction form
    109,507,536/240,430,176 = 240,430,176/x
  3. Step 3: Cross multiply
    109,507,536x = 240,430,176 × 240,430,176
  4. Step 4: Simplify right side
    109,507,536x = 57,806,669,531,390,976
  5. Step 5: Solve for x
    x = 57,806,669,531,390,976/109,507,536
  6. Step 6: Final answer
    x = 527,878,460.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.