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Finding the Third Proportional to 165,594,673.13 and 361,267,412.06

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Solution

The third proportional to 165,594,673.13 and 361,267,412.06 is: 788,154,235.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,594,673.13 : 361,267,412.06 = 361,267,412.06 : x
  2. Step 2: Convert to fraction form
    165,594,673.13/361,267,412.06 = 361,267,412.06/x
  3. Step 3: Cross multiply
    165,594,673.13x = 361,267,412.06 × 361,267,412.06
  4. Step 4: Simplify right side
    165,594,673.13x = 130,514,143,018,336,176
  5. Step 5: Solve for x
    x = 130,514,143,018,336,176/165,594,673.13
  6. Step 6: Final answer
    x = 788,154,235.61

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