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Finding the Third Proportional to 65,482,155 and 109,130,368.50

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Solution

The third proportional to 65,482,155 and 109,130,368.50 is: 181,873,020.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,482,155 : 109,130,368.50 = 109,130,368.50 : x
  2. Step 2: Convert to fraction form
    65,482,155/109,130,368.50 = 109,130,368.50/x
  3. Step 3: Cross multiply
    65,482,155x = 109,130,368.50 × 109,130,368.50
  4. Step 4: Simplify right side
    65,482,155x = 11,909,437,328,945,792
  5. Step 5: Solve for x
    x = 11,909,437,328,945,792/65,482,155
  6. Step 6: Final answer
    x = 181,873,020.66

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.