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Finding the Third Proportional to 233,242,690.50 and 510,417,841.50

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Solution

The third proportional to 233,242,690.50 and 510,417,841.50 is: 1,116,975,508.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,242,690.50 : 510,417,841.50 = 510,417,841.50 : x
  2. Step 2: Convert to fraction form
    233,242,690.50/510,417,841.50 = 510,417,841.50/x
  3. Step 3: Cross multiply
    233,242,690.50x = 510,417,841.50 × 510,417,841.50
  4. Step 4: Simplify right side
    233,242,690.50x = 260,526,372,921,519,136
  5. Step 5: Solve for x
    x = 260,526,372,921,519,136/233,242,690.50
  6. Step 6: Final answer
    x = 1,116,975,508.91

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Why These Related Problems?

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