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Finding the Third Proportional to 45,430,012.50 and 99,185,934.13

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Solution

The third proportional to 45,430,012.50 and 99,185,934.13 is: 216,549,566.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,430,012.50 : 99,185,934.13 = 99,185,934.13 : x
  2. Step 2: Convert to fraction form
    45,430,012.50/99,185,934.13 = 99,185,934.13/x
  3. Step 3: Cross multiply
    45,430,012.50x = 99,185,934.13 × 99,185,934.13
  4. Step 4: Simplify right side
    45,430,012.50x = 9,837,849,528,248,840
  5. Step 5: Solve for x
    x = 9,837,849,528,248,840/45,430,012.50
  6. Step 6: Final answer
    x = 216,549,566.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.