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Finding the Third Proportional to 65,530,495 and 101,748,582.75

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Solution

The third proportional to 65,530,495 and 101,748,582.75 is: 157,984,066.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,530,495 : 101,748,582.75 = 101,748,582.75 : x
  2. Step 2: Convert to fraction form
    65,530,495/101,748,582.75 = 101,748,582.75/x
  3. Step 3: Cross multiply
    65,530,495x = 101,748,582.75 × 101,748,582.75
  4. Step 4: Simplify right side
    65,530,495x = 10,352,774,091,633,598
  5. Step 5: Solve for x
    x = 10,352,774,091,633,598/65,530,495
  6. Step 6: Final answer
    x = 157,984,066.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.