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Finding the Third Proportional to 65,648,205 and 151,963,870.50

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Solution

The third proportional to 65,648,205 and 151,963,870.50 is: 351,769,221.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,648,205 : 151,963,870.50 = 151,963,870.50 : x
  2. Step 2: Convert to fraction form
    65,648,205/151,963,870.50 = 151,963,870.50/x
  3. Step 3: Cross multiply
    65,648,205x = 151,963,870.50 × 151,963,870.50
  4. Step 4: Simplify right side
    65,648,205x = 23,093,017,937,340,772
  5. Step 5: Solve for x
    x = 23,093,017,937,340,772/65,648,205
  6. Step 6: Final answer
    x = 351,769,221.07

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.