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Finding the Third Proportional to 145,710,370 and 237,906,734

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Solution

The third proportional to 145,710,370 and 237,906,734 is: 388,439,162.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,710,370 : 237,906,734 = 237,906,734 : x
  2. Step 2: Convert to fraction form
    145,710,370/237,906,734 = 237,906,734/x
  3. Step 3: Cross multiply
    145,710,370x = 237,906,734 × 237,906,734
  4. Step 4: Simplify right side
    145,710,370x = 56,599,614,082,546,752
  5. Step 5: Solve for x
    x = 56,599,614,082,546,752/145,710,370
  6. Step 6: Final answer
    x = 388,439,162.45

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.