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Finding the Third Proportional to 64,187,903.25 and 97,509,308.63

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Solution

The third proportional to 64,187,903.25 and 97,509,308.63 is: 148,128,615.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,187,903.25 : 97,509,308.63 = 97,509,308.63 : x
  2. Step 2: Convert to fraction form
    64,187,903.25/97,509,308.63 = 97,509,308.63/x
  3. Step 3: Cross multiply
    64,187,903.25x = 97,509,308.63 × 97,509,308.63
  4. Step 4: Simplify right side
    64,187,903.25x = 9,508,065,268,525,500
  5. Step 5: Solve for x
    x = 9,508,065,268,525,500/64,187,903.25
  6. Step 6: Final answer
    x = 148,128,615.94

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.