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Finding the Third Proportional to 190,867,968 and 293,742,342

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Solution

The third proportional to 190,867,968 and 293,742,342 is: 452,064,138.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,867,968 : 293,742,342 = 293,742,342 : x
  2. Step 2: Convert to fraction form
    190,867,968/293,742,342 = 293,742,342/x
  3. Step 3: Cross multiply
    190,867,968x = 293,742,342 × 293,742,342
  4. Step 4: Simplify right side
    190,867,968x = 86,284,563,483,644,960
  5. Step 5: Solve for x
    x = 86,284,563,483,644,960/190,867,968
  6. Step 6: Final answer
    x = 452,064,138.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.