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Finding the Third Proportional to 145,080,099 and 306,535,158

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Solution

The third proportional to 145,080,099 and 306,535,158 is: 647,668,451.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,080,099 : 306,535,158 = 306,535,158 : x
  2. Step 2: Convert to fraction form
    145,080,099/306,535,158 = 306,535,158/x
  3. Step 3: Cross multiply
    145,080,099x = 306,535,158 × 306,535,158
  4. Step 4: Simplify right side
    145,080,099x = 93,963,803,090,084,960
  5. Step 5: Solve for x
    x = 93,963,803,090,084,960/145,080,099
  6. Step 6: Final answer
    x = 647,668,451.69

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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.