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Finding the Third Proportional to 182,160,657 and 390,355,362

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Solution

The third proportional to 182,160,657 and 390,355,362 is: 836,499,555.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,160,657 : 390,355,362 = 390,355,362 : x
  2. Step 2: Convert to fraction form
    182,160,657/390,355,362 = 390,355,362/x
  3. Step 3: Cross multiply
    182,160,657x = 390,355,362 × 390,355,362
  4. Step 4: Simplify right side
    182,160,657x = 152,377,308,642,151,040
  5. Step 5: Solve for x
    x = 152,377,308,642,151,040/182,160,657
  6. Step 6: Final answer
    x = 836,499,555.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.