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Finding the Third Proportional to 165,594,895,433 and 360,203,730,130

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Solution

The third proportional to 165,594,895,433 and 360,203,730,130 is: 783,518,881,184.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,594,895,433 : 360,203,730,130 = 360,203,730,130 : x
  2. Step 2: Convert to fraction form
    165,594,895,433/360,203,730,130 = 360,203,730,130/x
  3. Step 3: Cross multiply
    165,594,895,433x = 360,203,730,130 × 360,203,730,130
  4. Step 4: Simplify right side
    165,594,895,433x = 129,746,727,199,565,877,870,592
  5. Step 5: Solve for x
    x = 129,746,727,199,565,877,870,592/165,594,895,433
  6. Step 6: Final answer
    x = 783,518,881,184.73

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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.