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Finding the Third Proportional to 49,109,745 and 106,938,445

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Solution

The third proportional to 49,109,745 and 106,938,445 is: 232,862,765.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,109,745 : 106,938,445 = 106,938,445 : x
  2. Step 2: Convert to fraction form
    49,109,745/106,938,445 = 106,938,445/x
  3. Step 3: Cross multiply
    49,109,745x = 106,938,445 × 106,938,445
  4. Step 4: Simplify right side
    49,109,745x = 11,435,831,019,018,024
  5. Step 5: Solve for x
    x = 11,435,831,019,018,024/49,109,745
  6. Step 6: Final answer
    x = 232,862,765.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.