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Finding the Third Proportional to 176,836,724 and 380,547,312

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Solution

The third proportional to 176,836,724 and 380,547,312 is: 818,926,371.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,836,724 : 380,547,312 = 380,547,312 : x
  2. Step 2: Convert to fraction form
    176,836,724/380,547,312 = 380,547,312/x
  3. Step 3: Cross multiply
    176,836,724x = 380,547,312 × 380,547,312
  4. Step 4: Simplify right side
    176,836,724x = 144,816,256,670,425,344
  5. Step 5: Solve for x
    x = 144,816,256,670,425,344/176,836,724
  6. Step 6: Final answer
    x = 818,926,371.14

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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.