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Finding the Third Proportional to 65,468,117 and 98,475,507

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Solution

The third proportional to 65,468,117 and 98,475,507 is: 148,124,398.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,468,117 : 98,475,507 = 98,475,507 : x
  2. Step 2: Convert to fraction form
    65,468,117/98,475,507 = 98,475,507/x
  3. Step 3: Cross multiply
    65,468,117x = 98,475,507 × 98,475,507
  4. Step 4: Simplify right side
    65,468,117x = 9,697,425,478,907,048
  5. Step 5: Solve for x
    x = 9,697,425,478,907,048/65,468,117
  6. Step 6: Final answer
    x = 148,124,398.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.