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Finding the Third Proportional to 109,913,330,388 and 238,077,896,516

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Solution

The third proportional to 109,913,330,388 and 238,077,896,516 is: 515,688,903,333.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,913,330,388 : 238,077,896,516 = 238,077,896,516 : x
  2. Step 2: Convert to fraction form
    109,913,330,388/238,077,896,516 = 238,077,896,516/x
  3. Step 3: Cross multiply
    109,913,330,388x = 238,077,896,516 × 238,077,896,516
  4. Step 4: Simplify right side
    109,913,330,388x = 56,681,084,809,483,204,427,776
  5. Step 5: Solve for x
    x = 56,681,084,809,483,204,427,776/109,913,330,388
  6. Step 6: Final answer
    x = 515,688,903,333.16

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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.