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Finding the Third Proportional to 165,744,545.84 and 260,004,280.01

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Solution

The third proportional to 165,744,545.84 and 260,004,280.01 is: 407,869,986.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,744,545.84 : 260,004,280.01 = 260,004,280.01 : x
  2. Step 2: Convert to fraction form
    165,744,545.84/260,004,280.01 = 260,004,280.01/x
  3. Step 3: Cross multiply
    165,744,545.84x = 260,004,280.01 × 260,004,280.01
  4. Step 4: Simplify right side
    165,744,545.84x = 67,602,225,622,374,472
  5. Step 5: Solve for x
    x = 67,602,225,622,374,472/165,744,545.84
  6. Step 6: Final answer
    x = 407,869,986.20

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.