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Finding the Third Proportional to 48,000,496 and 105,118,688

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Solution

The third proportional to 48,000,496 and 105,118,688 is: 230,204,674.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,000,496 : 105,118,688 = 105,118,688 : x
  2. Step 2: Convert to fraction form
    48,000,496/105,118,688 = 105,118,688/x
  3. Step 3: Cross multiply
    48,000,496x = 105,118,688 × 105,118,688
  4. Step 4: Simplify right side
    48,000,496x = 11,049,938,566,841,344
  5. Step 5: Solve for x
    x = 11,049,938,566,841,344/48,000,496
  6. Step 6: Final answer
    x = 230,204,674.69

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.