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Finding the Third Proportional to 255,547,747.97 and 555,870,083.63

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Solution

The third proportional to 255,547,747.97 and 555,870,083.63 is: 1,209,134,309.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,547,747.97 : 555,870,083.63 = 555,870,083.63 : x
  2. Step 2: Convert to fraction form
    255,547,747.97/555,870,083.63 = 555,870,083.63/x
  3. Step 3: Cross multiply
    255,547,747.97x = 555,870,083.63 × 555,870,083.63
  4. Step 4: Simplify right side
    255,547,747.97x = 308,991,549,869,264,512
  5. Step 5: Solve for x
    x = 308,991,549,869,264,512/255,547,747.97
  6. Step 6: Final answer
    x = 1,209,134,309.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.