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Finding the Third Proportional to 151,615,916 and 232,900,592.50

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Solution

The third proportional to 151,615,916 and 232,900,592.50 is: 357,763,798.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,615,916 : 232,900,592.50 = 232,900,592.50 : x
  2. Step 2: Convert to fraction form
    151,615,916/232,900,592.50 = 232,900,592.50/x
  3. Step 3: Cross multiply
    151,615,916x = 232,900,592.50 × 232,900,592.50
  4. Step 4: Simplify right side
    151,615,916x = 54,242,685,986,851,056
  5. Step 5: Solve for x
    x = 54,242,685,986,851,056/151,615,916
  6. Step 6: Final answer
    x = 357,763,798.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.