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Finding the Third Proportional to 175,460,247 and 380,178,585

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Solution

The third proportional to 175,460,247 and 380,178,585 is: 823,752,154.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,460,247 : 380,178,585 = 380,178,585 : x
  2. Step 2: Convert to fraction form
    175,460,247/380,178,585 = 380,178,585/x
  3. Step 3: Cross multiply
    175,460,247x = 380,178,585 × 380,178,585
  4. Step 4: Simplify right side
    175,460,247x = 144,535,756,492,602,240
  5. Step 5: Solve for x
    x = 144,535,756,492,602,240/175,460,247
  6. Step 6: Final answer
    x = 823,752,154.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.