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Finding the Third Proportional to 109,913,330,384 and 238,077,896,508

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Solution

The third proportional to 109,913,330,384 and 238,077,896,508 is: 515,688,903,317.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,913,330,384 : 238,077,896,508 = 238,077,896,508 : x
  2. Step 2: Convert to fraction form
    109,913,330,384/238,077,896,508 = 238,077,896,508/x
  3. Step 3: Cross multiply
    109,913,330,384x = 238,077,896,508 × 238,077,896,508
  4. Step 4: Simplify right side
    109,913,330,384x = 56,681,084,805,673,962,700,800
  5. Step 5: Solve for x
    x = 56,681,084,805,673,962,700,800/109,913,330,384
  6. Step 6: Final answer
    x = 515,688,903,317.27

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.