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Finding the Third Proportional to 179,014,730 and 385,574,724

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Solution

The third proportional to 179,014,730 and 385,574,724 is: 830,478,406.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,014,730 : 385,574,724 = 385,574,724 : x
  2. Step 2: Convert to fraction form
    179,014,730/385,574,724 = 385,574,724/x
  3. Step 3: Cross multiply
    179,014,730x = 385,574,724 × 385,574,724
  4. Step 4: Simplify right side
    179,014,730x = 148,667,867,787,676,160
  5. Step 5: Solve for x
    x = 148,667,867,787,676,160/179,014,730
  6. Step 6: Final answer
    x = 830,478,406.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.