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Finding the Third Proportional to 55,365,023 and 121,156,705

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Solution

The third proportional to 55,365,023 and 121,156,705 is: 265,130,336.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,365,023 : 121,156,705 = 121,156,705 : x
  2. Step 2: Convert to fraction form
    55,365,023/121,156,705 = 121,156,705/x
  3. Step 3: Cross multiply
    55,365,023x = 121,156,705 × 121,156,705
  4. Step 4: Simplify right side
    55,365,023x = 14,678,947,166,457,024
  5. Step 5: Solve for x
    x = 14,678,947,166,457,024/55,365,023
  6. Step 6: Final answer
    x = 265,130,336.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.