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Finding the Third Proportional to 65,281,712 and 98,762,178

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Solution

The third proportional to 65,281,712 and 98,762,178 is: 149,413,480.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,281,712 : 98,762,178 = 98,762,178 : x
  2. Step 2: Convert to fraction form
    65,281,712/98,762,178 = 98,762,178/x
  3. Step 3: Cross multiply
    65,281,712x = 98,762,178 × 98,762,178
  4. Step 4: Simplify right side
    65,281,712x = 9,753,967,803,303,684
  5. Step 5: Solve for x
    x = 9,753,967,803,303,684/65,281,712
  6. Step 6: Final answer
    x = 149,413,480.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.