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Finding the Third Proportional to 106,280,264,511 and 234,223,831,765.50

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Solution

The third proportional to 106,280,264,511 and 234,223,831,765.50 is: 516,189,940,054.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,280,264,511 : 234,223,831,765.50 = 234,223,831,765.50 : x
  2. Step 2: Convert to fraction form
    106,280,264,511/234,223,831,765.50 = 234,223,831,765.50/x
  3. Step 3: Cross multiply
    106,280,264,511x = 234,223,831,765.50 × 234,223,831,765.50
  4. Step 4: Simplify right side
    106,280,264,511x = 54,860,803,366,913,245,708,288
  5. Step 5: Solve for x
    x = 54,860,803,366,913,245,708,288/106,280,264,511
  6. Step 6: Final answer
    x = 516,189,940,054.54

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.