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Finding the Third Proportional to 97,254,016 and 207,525,056

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Solution

The third proportional to 97,254,016 and 207,525,056 is: 442,826,431.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,254,016 : 207,525,056 = 207,525,056 : x
  2. Step 2: Convert to fraction form
    97,254,016/207,525,056 = 207,525,056/x
  3. Step 3: Cross multiply
    97,254,016x = 207,525,056 × 207,525,056
  4. Step 4: Simplify right side
    97,254,016x = 43,066,648,867,803,136
  5. Step 5: Solve for x
    x = 43,066,648,867,803,136/97,254,016
  6. Step 6: Final answer
    x = 442,826,431.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.