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Finding the Third Proportional to 119,780,748 and 245,237,400

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Solution

The third proportional to 119,780,748 and 245,237,400 is: 502,095,565.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,780,748 : 245,237,400 = 245,237,400 : x
  2. Step 2: Convert to fraction form
    119,780,748/245,237,400 = 245,237,400/x
  3. Step 3: Cross multiply
    119,780,748x = 245,237,400 × 245,237,400
  4. Step 4: Simplify right side
    119,780,748x = 60,141,382,358,760,000
  5. Step 5: Solve for x
    x = 60,141,382,358,760,000/119,780,748
  6. Step 6: Final answer
    x = 502,095,565.13

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.