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Finding the Third Proportional to 145,117,024 and 315,742,244

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Solution

The third proportional to 145,117,024 and 315,742,244 is: 686,984,627.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,117,024 : 315,742,244 = 315,742,244 : x
  2. Step 2: Convert to fraction form
    145,117,024/315,742,244 = 315,742,244/x
  3. Step 3: Cross multiply
    145,117,024x = 315,742,244 × 315,742,244
  4. Step 4: Simplify right side
    145,117,024x = 99,693,164,646,155,536
  5. Step 5: Solve for x
    x = 99,693,164,646,155,536/145,117,024
  6. Step 6: Final answer
    x = 686,984,627.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.