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Finding the Third Proportional to 807,146,089.03 and 1,154,220,281.86

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Solution

The third proportional to 807,146,089.03 and 1,154,220,281.86 is: 1,650,536,968.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,146,089.03 : 1,154,220,281.86 = 1,154,220,281.86 : x
  2. Step 2: Convert to fraction form
    807,146,089.03/1,154,220,281.86 = 1,154,220,281.86/x
  3. Step 3: Cross multiply
    807,146,089.03x = 1,154,220,281.86 × 1,154,220,281.86
  4. Step 4: Simplify right side
    807,146,089.03x = 1,332,224,459,055,592,960
  5. Step 5: Solve for x
    x = 1,332,224,459,055,592,960/807,146,089.03
  6. Step 6: Final answer
    x = 1,650,536,968.66

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.