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Finding the Third Proportional to 145,698,598.13 and 224,175,286.13

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Solution

The third proportional to 145,698,598.13 and 224,175,286.13 is: 344,921,362.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,698,598.13 : 224,175,286.13 = 224,175,286.13 : x
  2. Step 2: Convert to fraction form
    145,698,598.13/224,175,286.13 = 224,175,286.13/x
  3. Step 3: Cross multiply
    145,698,598.13x = 224,175,286.13 × 224,175,286.13
  4. Step 4: Simplify right side
    145,698,598.13x = 50,254,558,909,225,616
  5. Step 5: Solve for x
    x = 50,254,558,909,225,616/145,698,598.13
  6. Step 6: Final answer
    x = 344,921,362.02

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.