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Finding the Third Proportional to 145,710,366.75 and 237,906,726.75

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Solution

The third proportional to 145,710,366.75 and 237,906,726.75 is: 388,439,147.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,710,366.75 : 237,906,726.75 = 237,906,726.75 : x
  2. Step 2: Convert to fraction form
    145,710,366.75/237,906,726.75 = 237,906,726.75/x
  3. Step 3: Cross multiply
    145,710,366.75x = 237,906,726.75 × 237,906,726.75
  4. Step 4: Simplify right side
    145,710,366.75x = 56,599,610,632,899,168
  5. Step 5: Solve for x
    x = 56,599,610,632,899,168/145,710,366.75
  6. Step 6: Final answer
    x = 388,439,147.44

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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.