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Finding the Third Proportional to 145,657,121 and 312,090,241

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Solution

The third proportional to 145,657,121 and 312,090,241 is: 668,695,892.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,657,121 : 312,090,241 = 312,090,241 : x
  2. Step 2: Convert to fraction form
    145,657,121/312,090,241 = 312,090,241/x
  3. Step 3: Cross multiply
    145,657,121x = 312,090,241 × 312,090,241
  4. Step 4: Simplify right side
    145,657,121x = 97,400,318,527,438,080
  5. Step 5: Solve for x
    x = 97,400,318,527,438,080/145,657,121
  6. Step 6: Final answer
    x = 668,695,892.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.