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Finding the Third Proportional to 109,913,330,390 and 238,077,896,520

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Solution

The third proportional to 109,913,330,390 and 238,077,896,520 is: 515,688,903,341.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,913,330,390 : 238,077,896,520 = 238,077,896,520 : x
  2. Step 2: Convert to fraction form
    109,913,330,390/238,077,896,520 = 238,077,896,520/x
  3. Step 3: Cross multiply
    109,913,330,390x = 238,077,896,520 × 238,077,896,520
  4. Step 4: Simplify right side
    109,913,330,390x = 56,681,084,811,387,829,485,568
  5. Step 5: Solve for x
    x = 56,681,084,811,387,829,485,568/109,913,330,390
  6. Step 6: Final answer
    x = 515,688,903,341.11

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Why These Related Problems?

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