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Finding the Third Proportional to 105,216,948 and 230,547,816

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Solution

The third proportional to 105,216,948 and 230,547,816 is: 505,168,572.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,216,948 : 230,547,816 = 230,547,816 : x
  2. Step 2: Convert to fraction form
    105,216,948/230,547,816 = 230,547,816/x
  3. Step 3: Cross multiply
    105,216,948x = 230,547,816 × 230,547,816
  4. Step 4: Simplify right side
    105,216,948x = 53,152,295,462,369,856
  5. Step 5: Solve for x
    x = 53,152,295,462,369,856/105,216,948
  6. Step 6: Final answer
    x = 505,168,572.86

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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.