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Finding the Third Proportional to 65,239,957 and 103,645,664

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Solution

The third proportional to 65,239,957 and 103,645,664 is: 164,660,189.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,239,957 : 103,645,664 = 103,645,664 : x
  2. Step 2: Convert to fraction form
    65,239,957/103,645,664 = 103,645,664/x
  3. Step 3: Cross multiply
    65,239,957x = 103,645,664 × 103,645,664
  4. Step 4: Simplify right side
    65,239,957x = 10,742,423,666,000,896
  5. Step 5: Solve for x
    x = 10,742,423,666,000,896/65,239,957
  6. Step 6: Final answer
    x = 164,660,189.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.