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Finding the Third Proportional to 145,080,117 and 306,535,194

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Solution

The third proportional to 145,080,117 and 306,535,194 is: 647,668,523.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,080,117 : 306,535,194 = 306,535,194 : x
  2. Step 2: Convert to fraction form
    145,080,117/306,535,194 = 306,535,194/x
  3. Step 3: Cross multiply
    145,080,117x = 306,535,194 × 306,535,194
  4. Step 4: Simplify right side
    145,080,117x = 93,963,825,160,617,632
  5. Step 5: Solve for x
    x = 93,963,825,160,617,632/145,080,117
  6. Step 6: Final answer
    x = 647,668,523.46

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.