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Finding the Third Proportional to 150,301,982 and 232,725,835

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Solution

The third proportional to 150,301,982 and 232,725,835 is: 360,349,967.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,301,982 : 232,725,835 = 232,725,835 : x
  2. Step 2: Convert to fraction form
    150,301,982/232,725,835 = 232,725,835/x
  3. Step 3: Cross multiply
    150,301,982x = 232,725,835 × 232,725,835
  4. Step 4: Simplify right side
    150,301,982x = 54,161,314,276,447,224
  5. Step 5: Solve for x
    x = 54,161,314,276,447,224/150,301,982
  6. Step 6: Final answer
    x = 360,349,967.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.