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Finding the Third Proportional to 106,280,264,520 and 234,223,831,783.50

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Solution

The third proportional to 106,280,264,520 and 234,223,831,783.50 is: 516,189,940,090.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,280,264,520 : 234,223,831,783.50 = 234,223,831,783.50 : x
  2. Step 2: Convert to fraction form
    106,280,264,520/234,223,831,783.50 = 234,223,831,783.50/x
  3. Step 3: Cross multiply
    106,280,264,520x = 234,223,831,783.50 × 234,223,831,783.50
  4. Step 4: Simplify right side
    106,280,264,520x = 54,860,803,375,345,306,697,728
  5. Step 5: Solve for x
    x = 54,860,803,375,345,306,697,728/106,280,264,520
  6. Step 6: Final answer
    x = 516,189,940,090.16

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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.